43112609
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=46A000043
- 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=29A001153
- Mersenne prime exponents (A000043) which are also Sophie Germain primes (A005384).at n=7A065406
- Bisection of A000043.at n=23A099982
- Mersenne prime indices that are not Gaussian primes.at n=27A112634
- Primes p such that 2^p-1 is prime and congruent to 31 mod 5!.at n=26A145040
- Primes p (A000043) such that 2^p-1 is prime (A000668) and congruent to 31 mod 6!.at n=16A145041
- Isolated primes p such that 2^p-1 is also a prime number.at n=30A161676
- 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=22A216519
- Odious Mersenne exponents.at n=25A237499
- Lower of two consecutive Mersenne prime exponents with record first difference.at n=20A298943
- 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=23A354167
- Prime numbersat n=2610944