37447
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- a(n) = Sum_{ d >= 1, d divides n} (-1)^(n-d)*d^3.at n=31A008457
- Least prime in A031934 (lesser of 16-twins) whose distance to the next 16-twin is 6*n.at n=21A052357
- Smallest prime that is the sum of prime(n) consecutive primes.at n=25A082277
- Numbers k such that (16*10^(k-1) - 61)/9 is a plateau prime.at n=7A082701
- Primes of the form 6*k^2 + 1.at n=21A090687
- Primes from merging of 5 successive digits in decimal expansion of exp(2).at n=9A105001
- Total number of parts in the tails below the Durfee squares of all partitions of n.at n=29A114089
- Primes p of the form : p+p^2+p^3-+8=prime.at n=33A154823
- Primes p such that 5*p+2, 7*p+4 and 11*p+6 are also prime.at n=35A173880
- Primes of the form k^5 + k^4 + k^3 + k^2 + k - 1.at n=1A182384
- Primes having only {3, 4, 7} as digits.at n=33A199347
- Primes p such that the order of 2 mod p is a square.at n=36A213049
- Numerator of Sum_{k=1..n} 1/A045542(k).at n=8A214390
- Primes that are the sum of 101 consecutive primes.at n=0A215993
- Primes p of the form p^2 + q + 1 where p < q are consecutive primes.at n=7A242230
- The Hwang-Deutsch function f_3(n).at n=39A260996
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 670", based on the 5-celled von Neumann neighborhood.at n=42A273394
- Numbers k such that (2*10^k - 143)/3 is prime.at n=22A281992
- a(n) = Sum_{k=0..floor(n/3)} 2^k * binomial(2*n-4*k,2*k).at n=13A387622
- Prime numbersat n=3964