216091
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=30A000043
- Bisection of A000043.at n=15A099982
- Mersenne prime indices that are also Gaussian primes.at n=12A112633
- Duplicate of A112633.at n=12A145039
- Primes p (A000043) such that 2^p-1 is prime (A000668) and congruent to 127 mod 6!.at n=9A145042
- Values of p for which 2^p - 1 is prime and which are followed by a gap such that no 2^q - 1 is prime for p < q < 2*p.at n=3A152783
- Base-2 logarithm of A136007(n)+1.at n=20A152961
- Isolated primes p such that 2^p-1 is also a prime number.at n=16A161676
- Odd Mersenne exponents.at n=29A174265
- Numbers k such that exactly one of 2^k - 1 and 2^k + 1 is a prime.at n=34A174269
- Integers m such that m divides (2^m-2)^2 and (m-2)^((k-1)*(1+k*(m-1))) == 1 (mod k), where k = 2^m - 1.at n=31A190213
- Prime numbers n such that 2^n-1 is prime and can be written in the form a^2+7*b^2.at n=17A216518
- Odious Mersenne exponents.at n=16A237499
- Primes p such that the decimal expansion of its base 7 expansion converted to decimal is a square.at n=33A241246
- Numbers k such that 3*k-4 and 2^k-1 are prime.at n=16A247147
- Numbers m such that 2^m + (-1)^m is prime.at n=34A285929
- Lower of two consecutive Mersenne prime exponents with record first difference.at n=15A298943
- 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=15A354168
- Prime numbersat n=19292