2000 (number)

	List of numbers — Integers ← 0 [[{{#expr:{{{1}}}{{{factor}}}1000}} (number)\|{{#ifeq:{{{1}}}\|10\|→\|{{#expr:{{{1}}}{{{factor}}}}}k}}]] [[{{#expr:{{{1}}}{{{factor}}}1000}} (number)\|{{#ifeq:{{{1}}}\|10\|→\|{{#expr:{{{1}}}{{{factor}}}}}k}}]] [[{{#expr:{{{1}}}{{{factor}}}1000}} (number)\|{{#ifeq:{{{1}}}\|10\|→\|{{#expr:{{{1}}}{{{factor}}}}}k}}]] [[{{#expr:{{{1}}}{{{factor}}}1000}} (number)\|{{#ifeq:{{{1}}}\|10\|→\|{{#expr:{{{1}}}{{{factor}}}}}k}}]] [[{{#expr:{{{1}}}{{{factor}}}1000}} (number)\|{{#ifeq:{{{1}}}\|10\|→\|{{#expr:{{{1}}}{{{factor}}}}}k}}]] [[{{#expr:{{{1}}}{{{factor}}}1000}} (number)\|{{#ifeq:{{{1}}}\|10\|→\|{{#expr:{{{1}}}{{{factor}}}}}k}}]] [[{{#expr:{{{1}}}{{{factor}}}1000}} (number)\|{{#ifeq:{{{1}}}\|10\|→\|{{#expr:{{{1}}}{{{factor}}}}}k}}]] [[{{#expr:{{{1}}}{{{factor}}}1000}} (number)\|{{#ifeq:{{{1}}}\|10\|→\|{{#expr:{{{1}}}{{{factor}}}}}k}}]] [[{{#expr:{{{1}}}{{{factor}}}1000}} (number)\|{{#ifeq:{{{1}}}\|10\|→\|{{#expr:{{{1}}}{{{factor}}}}}k}}]] [[{{#expr:{{{1}}}{{{factor}}}1000}} (number)\|{{#ifeq:{{{1}}}\|10\|→\|{{#expr:{{{1}}}{{{factor}}}}}k}}]]
Cardinal	two thousand
Ordinal	2000th; (two thousandth)
Factorization	24 × 53
Greek numeral	,Β´
Roman numeral	MM
Unicode symbol(s)	MM, mm
Binary	111110100002
Ternary	22020023
Quaternary	1331004
Quinary	310005
Senary	131326
Octal	37208
Duodecimal	11A812
Hexadecimal	7D016
Vigesimal	50020
Base 36	1JK36

2000 (two thousand) is a natural number following 1999 and preceding 2001.

Two thousand is the highest number expressible using only two unmodified characters in Roman numerals (MM).

Selected numbers in the range 2001–2999

2001 to 2099

2001 – sphenic number
2002 – palindromic number
2003 – Sophie Germain prime and the smallest prime number in the 2000s
2005 – A vertically symmetric number
2009 – 7⁴ − 7³ − 7²
2011 – Sexy prime number. Also, sum of eleven consecutive primes: 2011 = 157 + 163 + 167 + 173 + 179 + 181 + 191 + 193 + 197 + 199 + 211.
2015 – Lucas–Carmichael number[1]
2016 – triangular number, number of 5-cubes in a 9-cube, Erdős–Nicolas number,[2] 2¹¹-2⁵.
2017 – Mertens function zero. (2011, 2017) is a sexy prime pair.
2019 – smallest number that can be represented as the sum of 3 prime squares 6 different ways: 2019 = 7² + 11² + 43² = 7² + 17² + 41² = 13² + 13² + 41² = 11² + 23² + 37² = 17² + 19² + 37² = 23² + 23² + 31².
2020 – sum of the totient function for the first 81 integers
2024 – tetrahedral number[3]
2025 – 45², sum of the cubes of the first nine integers, centered octagonal number[4]
2027 – super-prime, safe prime[5]
2029 – member of the Mian–Chowla sequence[6]
2030 – 21² + 22² + 23² + 24² = 25² + 26² + 27²
2031 – centered pentagonal number[7]
2039 – Sophie Germain prime, safe prime[5]
2047 – super-Poulet number,[8] Woodall number,[9] decagonal number.[10] Also, 2047 = 2¹¹ − 1 = 23 × 89 and is the first Mersenne number that is composite for a prime exponent.
2048 – power of two 2¹¹
2053 – star number
2056 – magic constant of n × n normal magic square and n-queens problem for n = 16.
2060 – sum of the totient function for the first 82 integers
2063 – Sophie Germain prime, safe prime.[5] super-prime
2069 – Sophie Germain prime
2070 – pronic number[11]
2080 – triangular number
2081 – super-prime
2093 – Mertens function zero
2095 – Mertens function zero
2096 – Mertens function zero
2097 – Mertens function zero
2099 – Mertens function zero, super-prime, safe prime,[5] highly cototient number[12]

2100 to 2199

2100 – Mertens function zero
2101 – centered heptagonal number[13]
2107 – member of a Ruth–Aaron pair with 2108 (first definition)
2108 – member of a Ruth–Aaron pair with 2107 (first definition)
2109 – square pyramidal number[14]
2112 – The break-through album of the band Rush
2113 – Mertens function zero, Proth prime,[15] centered square number[16]
2116 – 46²
2117 – Mertens function zero
2119 – Mertens function zero
2120 – Mertens function zero
2122 – Mertens function zero
2125 – nonagonal number[17]
2127 – sum of the first 34 primes
2129 – Sophie Germain prime
2135 – Mertens function zero
2136 – Mertens function zero
2137 – prime of the form 2p-1
2138 – Mertens function zero
2141 – Sophie Germain prime
2142 – sum of the totient function for the first 83 integers
2143 – almost exactly 22 $π$ ⁴
2145 – triangular number
2162 – pronic number[11]
2166 – sum of the totient function for the first 84 integers
2169 – Leyland number[18]
2171 – Mertens function zero
2172 – Mertens function zero
2175 – smallest number requiring 143 seventh powers for Waring representation
2176 – pentagonal pyramidal number,[19] centered pentagonal number[7]
2178 – first natural integer which digits in its decimal expression get reversed when multiplied by 4.[20]
2179 – Wedderburn–Etherington number[21]
2184 – equals both 3⁷ − 3 and 13³ − 13 and is believed to be the only such doubly strictly absurd number.[22]
2187 – power of three: 3⁷, vampire number,[23] perfect totient number[24]
2188 – Motzkin number[25]
2197 – 13³, palindromic in base 12 (1331₁₂)
2199 – perfect totient number[24]

2200 to 2299

2201 – only known non-palindromic number whose cube is palindromic; also no known fourth or higher powers are palindromic for non-palindromic numbers
2205 – odd abundant number[26]
2207 – safe prime,[5] Lucas prime[27]
2208 – Keith number[28]
2209 – 47², palindromic in base 14 (B3B₁₄), centered octagonal number[4]
2211 – triangular number
2221 – super-prime, happy number
2222 – repdigit
2223 – Kaprekar number[29]
2230 – sum of the totient function for the first 85 integers
2232 – decagonal number[10]
2236 – Harshad Number
2245 – centered square number[16]
2254 – member of the Mian–Chowla sequence[6]
2255 – octahedral number[30]
2256 – pronic number[11]
2269 – super-prime, cuban prime[31]
2272 – sum of the totient function for the first 86 integers
2273 – Sophie Germain prime
2276 – sum of the first 35 primes, centered heptagonal number[13]
2278 – triangular number
2281 – star number
2287 – balanced prime[32]
2294 – Mertens function zero
2295 – Mertens function zero
2296 – Mertens function zero
2299 – member of a Ruth–Aaron pair with 2300 (first definition)

2300 to 2399

2300 – tetrahedral number,[3] member of a Ruth–Aaron pair with 2299 (first definition)
2301 – nonagonal number[17]
2304 – 48²
2306 – Mertens function zero
2309 – primorial prime, Mertens function zero, highly cototient number[12]
2310 – fifth primorial[33]
2311 – primorial prime
2321 – Mertens function zero
2322 – Mertens function zero
2326 – centered pentagonal number[7]
2328 – sum of the totient function for the first 87 integers, the number of groups of order 128[34]
2331 – centered cube number[35]
2338 – Mertens function zero
2339 – Sophie Germain prime
2341 – super-prime, twin prime with 2339
2346 – triangular number
2347 – sum of seven consecutive primes (313 + 317 + 331 + 337 + 347 + 349 + 353)
2351 – Sophie Germain prime, super-prime
2352 – pronic number[11]
2357 – Smarandache–Wellin prime[36]
2368 – sum of the totient function for the first 88 integers
2378 – Pell number[37]
2379 – member of the Mian–Chowla sequence[6]
2381 – super-prime, centered square number[16]
2383 (2384) – number of delegates required to win the 2016 Democratic Party presidential primaries (out of 4051)
2393 – Sophie Germain prime
2397 – sum of the squares of the first ten primes
2399 – Sophie Germain prime

2400 to 2499

2400 – perfect score on SAT tests administered after 2005
2401 – 7⁴, 49², centered octagonal number[4]
2415 – triangular number
2417 – super-prime, balanced prime[32]
2425 – decagonal number[10]
2427 – sum of the first 36 primes
2431 – product of three consecutive primes
2437 – cuban prime[31]
2447 – safe prime[5]
2450 – pronic number[11]
2456 – sum of the totient function for the first 89 integers
2458 – centered heptagonal number[13]
2459 – Sophie Germain prime, safe prime[5]
2465 – magic constant of n × n normal magic square and n-queens problem for n = 17, Carmichael number[38]
2470 – square pyramidal number[14]
2477 – super-prime, cousin prime
2480 – sum of the totient function for the first 90 integers
2481 – centered pentagonal number[7]
2484 – nonagonal number[17]
2485 – triangular number
2491 – member of Ruth–Aaron pair with 2492 under second definition
2492 – member of Ruth–Aaron pair with 2491 under second definition

2500 to 2599

2500 – 50², palindromic in base 7 (10201₇)
2501 – Mertens function zero
2502 – Mertens function zero
2510 – member of the Mian–Chowla sequence[6]
2513 – member of the Padovan sequence[39]
2517 – Mertens function zero
2519 – the smallest number congruent to 1 (mod 2), 2 (mod 3), 3 (mod 4), ..., 9 (mod 10)
2520 – superior highly composite number; smallest number divisible by numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and 12 ; colossally abundant number; Harshad number in several bases. It is also the highest number with more divisors than any number less than double itself.(sequence A072938 in the OEIS) Not only is it the 7th (and last) number with more divisors than any number double itself but it also the 7th number that is highly composite and the lowest common multiple of a consecutive set of integers from 1 (sequence A095921 in the OEIS) which is a property the previous number with this pattern of divisors does not have (360). That is, although 360 and 2520 both have more divisors than any number twice themselves, 2520 is the lowest number divisible by both 1 to 9 and 1 to 10, whereas 360 is not the lowest number divisible by 1 to 6 (which 60 is) and is not divisible by 1 to 7 (which 420 is). It is also the 6th and largest highly composite number that is a divisor of every higher highly composite number.(sequence A106037 in the OEIS)
2521 – star number, centered square number[16]
2522 – Mertens function zero
2523 – Mertens function zero
2524 – Mertens function zero
2525 – Mertens function zero
2530 – Mertens function zero, Leyland number[18]
2533 – Mertens function zero
2537 – Mertens function zero
2538 – Mertens function zero
2543 – Sophie Germain prime
2549 – Sophie Germain prime, super-prime
2550 – pronic number[11]
2552 – sum of the totient function for the first 91 integers
2556 – triangular number
2567 – Mertens function zero
2568 – Mertens function zero. Also number of digits in the decimal expansion of 1000!, or the product of all natural numbers from 1 to 1000.
2570 – Mertens function zero
2579 – safe prime[5]
2580 – Keith number[28]
2584 – Fibonacci number,[40] sum of the first 37 primes
2596 – sum of the totient function for the first 92 integers

2600 to 2699

2600 – tetrahedral number,[3] member of a Ruth–Aaron pair with 2601 (first definition)
- 2600 Hz is the tone used by a blue box to defeat toll charges on long distance telephone calls.
- 2600: The Hacker Quarterly is a magazine named after the above.
- The Atari 2600 was a popular video game console.
2601 – 51², member of a Ruth–Aaron pair with 2600 (first definition)
2609 – super-prime
2620 – amicable number with 2924
2626 – decagonal number[10]
2628 – triangular number
2632 – number of consecutive baseball games played by Cal Ripken, Jr.
2633 – sum of twenty-five consecutive primes (47 + 53 + 59 + 61 + 67 + 71 + 73 + 79 + 83 + 89 + 97 + 101 + 103 + 107 + 109 + 113 + 127 + 131 + 137 + 139 + 149 + 151 + 157 + 163 + 167)
2641 – centered pentagonal number[7]
2647 – super-prime, centered heptagonal number[13]
2652 – pronic number
2656 – sum of the totient function for the first 93 integers
2665 – centered square number[16]
2674 – nonagonal number[17]
2677 – balanced prime[32]
2680 – number of 11-queens problem solutions
2683 – super-prime
2689 – Mertens function zero, Proth prime[15]
2693 – Sophie Germain prime
2699 – Sophie Germain prime

2700 to 2799

2701 – triangular number, super-Poulet number[8]
2702 – sum of the totient function for the first 94 integers
2704 – 52²
2719 – super-prime, largest known odd number which cannot be expressed in the form x² + y² + 10z² where x, y and z are integers.[41] In 1997 it was conjectured that this is also the largest such odd number.[42] It is now known this is true if the generalized Riemann hypothesis is true.[43]
2728 – Kaprekar number[29]
2729 – highly cototient number[12]
2731 – Wagstaff prime[44]
2736 – octahedral number[30]
2741 – Sophie Germain prime, 400th prime number
2744 – 14³, palindromic in base 13 (1331₁₃)
2747 – sum of the first 38 primes
2749 – super-prime, cousin prime with 2753
2753 – Sophie Germain prime, Proth prime[15]
2756 – pronic number
2774 – sum of the totient function for the first 95 integers
2775 – triangular number
2780 – member of the Mian–Chowla sequence[6]
2783 – member of a Ruth–Aaron pair with 2784 (first definition)
2784 – member of a Ruth–Aaron pair with 2783 (first definition)
2791 – cuban prime[31]

2800 to 2899

2801 – first base 7 repunit prime
2803 – super-prime
2806 – centered pentagonal number,[7] sum of the totient function for the first 96 integers
2809 – 53², centered octagonal number[4]
2813 – centered square number[16]
2819 – Sophie Germain prime, safe prime, sum of seven consecutive primes (383 + 389 + 397 + 401 + 409 + 419 + 421)[5]
2821 – Carmichael number[38]
2835 – odd abundant number,[26] decagonal number[10]
2843 – centered heptagonal prime[45]
2850 – triangular number
2862 – pronic number
2870 – square pyramidal number[14]
2871 – nonagonal number[17]
2872 – tetranacci number[46]
2879 – safe prime[5]
2897 – super-prime, Markov number[47]

2900 to 2999

2902 – sum of the totient function for the first 97 integers
2903 – Sophie Germain prime, safe prime,[5] balanced prime[32]
2909 – super-prime
2914 – sum of the first 39 primes
2915 – Lucas–Carmichael number[1]
2916 – 54²
2924 – amicable number with 2620
2925 – magic constant of n × n normal magic square and n-queens problem for n = 18, tetrahedral number,[3] member of the Mian-Chowla sequence[6]
2926 – triangular number
2939 – Sophie Germain prime
2944 – sum of the totient function for the first 98 integers
2963 – Sophie Germain prime, safe prime, balanced prime[32]
2965 – greater of second pair of Smith brothers, centered square number[16]
2969 – Sophie Germain prime
2970 – harmonic divisor number,[48] pronic number
2976 – centered pentagonal number[7]
2997 – chiliagonal number[49]
2999 – safe prime

References

Sloane, N. J. A. (ed.). "Sequence A006972 (Lucas-Carmichael numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
Sloane, N. J. A. (ed.). "Sequence A194472 (Erdős-Nicolas numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
Sloane, N. J. A. (ed.). "Sequence A000292 (Tetrahedral numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
Sloane, N. J. A. (ed.). "Sequence A016754 (Odd squares: a(n) = (2n+1)^2. Also centered octagonal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
Sloane, N. J. A. (ed.). "Sequence A005385 (Safe primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
Sloane, N. J. A. (ed.). "Sequence A005282 (Mian-Chowla sequence)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
Sloane, N. J. A. (ed.). "Sequence A005891 (Centered pentagonal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
Sloane, N. J. A. (ed.). "Sequence A050217 (Super-Poulet numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
Sloane, N. J. A. (ed.). "Sequence A003261 (Woodall numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
Sloane, N. J. A. (ed.). "Sequence A001107 (10-gonal (or decagonal) numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
Sloane, N. J. A. (ed.). "Sequence A002378 (Oblong (or promic, pronic, or heteromecic) numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
Sloane, N. J. A. (ed.). "Sequence A100827 (Highly cototient numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
Sloane, N. J. A. (ed.). "Sequence A069099 (Centered heptagonal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
Sloane, N. J. A. (ed.). "Sequence A000330 (Square pyramidal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
Sloane, N. J. A. (ed.). "Sequence A080076 (Proth primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
Sloane, N. J. A. (ed.). "Sequence A001844 (Centered square numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
Sloane, N. J. A. (ed.). "Sequence A001106 (9-gonal (or enneagonal or nonagonal) numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
Sloane, N. J. A. (ed.). "Sequence A076980 (Leyland numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
Sloane, N. J. A. (ed.). "Sequence A002411 (Pentagonal pyramidal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
Sloane, N. J. A. (ed.). "Sequence A008918 (Numbers n such that 4*n = (n written backwards))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
Sloane, N. J. A. (ed.). "Sequence A001190 (Wedderburn-Etherington numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
Mackenzie, Dana (2018). "2184: An Absurd (and Adsurd) Tale". Integers. 18.
Sloane, N. J. A. (ed.). "Sequence A014575 (Vampire numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
Sloane, N. J. A. (ed.). "Sequence A082897 (Perfect totient numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
Sloane, N. J. A. (ed.). "Sequence A001006 (Motzkin numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
Sloane, N. J. A. (ed.). "Sequence A005231 (Odd abundant numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
Sloane, N. J. A. (ed.). "Sequence A005479 (Prime Lucas numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
Sloane, N. J. A. (ed.). "Sequence A007629 (Repfigit (REPetitive FIbonacci-like diGIT) numbers (or Keith numbers))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
Sloane, N. J. A. (ed.). "Sequence A006886 (Kaprekar numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
Sloane, N. J. A. (ed.). "Sequence A005900 (Octahedral numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
Sloane, N. J. A. (ed.). "Sequence A002407 (Cuban primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
Sloane, N. J. A. (ed.). "Sequence A006562 (Balanced primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
Sloane, N. J. A. (ed.). "Sequence A002110 (Primorial numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
"The Small Groups library". Archived from the original on 2007-02-04. Retrieved 2008-01-22..
Sloane, N. J. A. (ed.). "Sequence A005898 (Centered cube numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
Sloane, N. J. A. (ed.). "Sequence A069151 (Concatenations of consecutive primes, starting with 2, that are also prime)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
Sloane, N. J. A. (ed.). "Sequence A000129 (Pell numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
Sloane, N. J. A. (ed.). "Sequence A002997 (Carmichael numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
Sloane, N. J. A. (ed.). "Sequence A000931 (Padovan sequence)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
Sloane, N. J. A. (ed.). "Sequence A000045 (Fibonacci numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
"Odd numbers that are not of the form x^2+y^2+10*z^2". The Online Encyclopedia of Integer Sequences. The OEIS Foundation, Inc. Retrieved 13 November 2012.
Ono, Ken (1997). "Ramanujan, taxicabs, birthdates, zipcodes and twists" (PDF). American Mathematical Monthly. 104 (10): 912–917. CiteSeerX 10.1.1.514.8070. doi:10.2307/2974471. JSTOR 2974471. Retrieved 11 November 2012.
Ono, Ken; K Soundararajan (1997). "Ramanujan's ternary quadratic forms" (PDF). Inventiones Mathematicae. 130 (3): 415–454. CiteSeerX 10.1.1.585.8840. doi:10.1007/s002220050191. Archived from the original (PDF) on 18 July 2019. Retrieved 12 November 2012.
Sloane, N. J. A. (ed.). "Sequence A000979 (Wagstaff primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
Sloane, N. J. A. (ed.). "Sequence A144974 (Centered heptagonal prime numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
Sloane, N. J. A. (ed.). "Sequence A000078 (Tetranacci numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
Sloane, N. J. A. (ed.). "Sequence A002559 (Markoff (or Markov) numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
Sloane, N. J. A. (ed.). "Sequence A001599 (Harmonic or Ore numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
Sloane, N. J. A. (ed.). "Sequence A195163 (1000-gonal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.

This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.

[:0-1] Sloane, N. J. A. (ed.). "Sequence A006972 (Lucas-Carmichael numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.

[2] Sloane, N. J. A. (ed.). "Sequence A194472 (Erdős-Nicolas numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.

[:1-3] Sloane, N. J. A. (ed.). "Sequence A000292 (Tetrahedral numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.

[:2-4] Sloane, N. J. A. (ed.). "Sequence A016754 (Odd squares: a(n) = (2n+1)^2. Also centered octagonal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.

[:3-5] Sloane, N. J. A. (ed.). "Sequence A005385 (Safe primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.

[:4-6] Sloane, N. J. A. (ed.). "Sequence A005282 (Mian-Chowla sequence)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.

[:5-7] Sloane, N. J. A. (ed.). "Sequence A005891 (Centered pentagonal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.

[:6-8] Sloane, N. J. A. (ed.). "Sequence A050217 (Super-Poulet numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.

[9] Sloane, N. J. A. (ed.). "Sequence A003261 (Woodall numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.

[:7-10] Sloane, N. J. A. (ed.). "Sequence A001107 (10-gonal (or decagonal) numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.

[:8-11] Sloane, N. J. A. (ed.). "Sequence A002378 (Oblong (or promic, pronic, or heteromecic) numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.

[:9-12] Sloane, N. J. A. (ed.). "Sequence A100827 (Highly cototient numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.

[:10-13] Sloane, N. J. A. (ed.). "Sequence A069099 (Centered heptagonal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.

[:11-14] Sloane, N. J. A. (ed.). "Sequence A000330 (Square pyramidal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.

[:12-15] Sloane, N. J. A. (ed.). "Sequence A080076 (Proth primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.

[:13-16] Sloane, N. J. A. (ed.). "Sequence A001844 (Centered square numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.

[:14-17] Sloane, N. J. A. (ed.). "Sequence A001106 (9-gonal (or enneagonal or nonagonal) numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.

[:15-18] Sloane, N. J. A. (ed.). "Sequence A076980 (Leyland numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.

[19] Sloane, N. J. A. (ed.). "Sequence A002411 (Pentagonal pyramidal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.

[20] Sloane, N. J. A. (ed.). "Sequence A008918 (Numbers n such that 4*n = (n written backwards))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.

[21] Sloane, N. J. A. (ed.). "Sequence A001190 (Wedderburn-Etherington numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.

[22] Mackenzie, Dana (2018). "2184: An Absurd (and Adsurd) Tale". Integers. 18.

[23] Sloane, N. J. A. (ed.). "Sequence A014575 (Vampire numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.

[:16-24] Sloane, N. J. A. (ed.). "Sequence A082897 (Perfect totient numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.

[25] Sloane, N. J. A. (ed.). "Sequence A001006 (Motzkin numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.

[:17-26] Sloane, N. J. A. (ed.). "Sequence A005231 (Odd abundant numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.

[27] Sloane, N. J. A. (ed.). "Sequence A005479 (Prime Lucas numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.

[:18-28] Sloane, N. J. A. (ed.). "Sequence A007629 (Repfigit (REPetitive FIbonacci-like diGIT) numbers (or Keith numbers))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.

[:19-29] Sloane, N. J. A. (ed.). "Sequence A006886 (Kaprekar numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.

[:20-30] Sloane, N. J. A. (ed.). "Sequence A005900 (Octahedral numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.

[:21-31] Sloane, N. J. A. (ed.). "Sequence A002407 (Cuban primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.

[:22-32] Sloane, N. J. A. (ed.). "Sequence A006562 (Balanced primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.

[33] Sloane, N. J. A. (ed.). "Sequence A002110 (Primorial numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.

[34] "The Small Groups library". Archived from the original on 2007-02-04. Retrieved 2008-01-22..

[35] Sloane, N. J. A. (ed.). "Sequence A005898 (Centered cube numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.

[36] Sloane, N. J. A. (ed.). "Sequence A069151 (Concatenations of consecutive primes, starting with 2, that are also prime)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.

[37] Sloane, N. J. A. (ed.). "Sequence A000129 (Pell numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.

[:23-38] Sloane, N. J. A. (ed.). "Sequence A002997 (Carmichael numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.

[39] Sloane, N. J. A. (ed.). "Sequence A000931 (Padovan sequence)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.

[40] Sloane, N. J. A. (ed.). "Sequence A000045 (Fibonacci numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.

[41] "Odd numbers that are not of the form x^2+y^2+10*z^2". The Online Encyclopedia of Integer Sequences. The OEIS Foundation, Inc. Retrieved 13 November 2012.

[Ono-42] Ono, Ken (1997). "Ramanujan, taxicabs, birthdates, zipcodes and twists" (PDF). American Mathematical Monthly. 104 (10): 912–917. CiteSeerX 10.1.1.514.8070. doi:10.2307/2974471. JSTOR 2974471. Retrieved 11 November 2012.

[Ken-43] Ono, Ken; K Soundararajan (1997). "Ramanujan's ternary quadratic forms" (PDF). Inventiones Mathematicae. 130 (3): 415–454. CiteSeerX 10.1.1.585.8840. doi:10.1007/s002220050191. Archived from the original (PDF) on 18 July 2019. Retrieved 12 November 2012.

[44] Sloane, N. J. A. (ed.). "Sequence A000979 (Wagstaff primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.

[45] Sloane, N. J. A. (ed.). "Sequence A144974 (Centered heptagonal prime numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.

[46] Sloane, N. J. A. (ed.). "Sequence A000078 (Tetranacci numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.

[47] Sloane, N. J. A. (ed.). "Sequence A002559 (Markoff (or Markov) numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.

[48] Sloane, N. J. A. (ed.). "Sequence A001599 (Harmonic or Ore numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.

[49] Sloane, N. J. A. (ed.). "Sequence A195163 (1000-gonal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.