45137
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numerator of [x^(2*n + 1)] in the Taylor series expansion of arcsin(cosec(x) - cotanh(x)).at n=3A013538
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 1 and 3 (mod 4).at n=66A046779
- Penta-Primes. Prime Numbers n as a Sum of 5 consecutive prime numbers (four twin primes and single prime number in between) are primes.at n=12A138397
- Prime numbers containing the digit string 137.at n=26A190307
- Primes that can be generated by the concatenation in base 6, in ascending order, of two consecutive integers read in base 10.at n=26A287306
- a(n) = Sum_{k=0..floor((n-1)/2)} (-n)^k * Stirling2(n,2*k+1).at n=8A357739
- a(n) = (3*n^4 - 4*n^3 + n^2 + 4*n + 4)/4.at n=16A366478
- Prime numbersat n=4686