32582657
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Mersenne exponents: primes p such that 2^p - 1 is prime. Then 2^p - 1 is called a Mersenne prime.at n=43A000043
- Degrees of primitive irreducible trinomials: n such that 2^n - 1 is a Mersenne prime and x^n + x^k + 1 is a primitive irreducible polynomial over GF(2) for some k with 0 < k < n.at n=27A001153
- Bisection of A000043.at n=21A099983
- Mersenne prime indices that are not Gaussian primes.at n=25A112634
- Primes p such that 2^p-1 is prime and congruent to 31 mod 5!.at n=24A145040
- Primes p (A000043) such that 2^p-1 is prime (A000668) and congruent to 31 mod 6!.at n=15A145041
- Base-2 logarithm of A136007(n)+1.at n=28A152961
- Isolated primes p such that 2^p-1 is also a prime number.at n=27A161676
- Prime numbers n such that 2^n-1 is a prime that cannot be written in the form a^2+7*b^2.at n=20A216519
- Numbers m such that 2^m + (-1)^m is prime.at n=47A285929
- Let M_p = 2^p-1 be a Mersenne prime, where p is an odd prime. Sequence lists p such that b_{p-2} == -2^((p+1)/2) mod M_p, where {b_k} is defined in the Comments.at n=20A354168
- Prime numbersat n=2007537