36551

Properties

Appears in sequences

• Primes followed by an [8,4,8]=[d,D-d,d] prime difference pattern of A001223.at n=14A052377
• First occurrence of run of primes congruent to 3 mod 4 of exactly length n.at n=7A055624
• Numbers k such that 2^k + 21 is prime.at n=35A057201
• Initial prime in first sequence of n primes congruent to 3 modulo 4.at n=7A057619
• Duplicate of A055624.at n=7A092568
• Sum of parts, counted without multiplicities, in all partitions of n into odd parts.at n=41A116930
• Prime p such that 2^p + 21 is also prime.at n=10A175235
• G.f.: exp( Sum_{n>=1} A002129(n^2)*x^n/n ), where A002129(n) is the excess of sum of odd divisors of n over sum of even divisors of n.at n=43A225925
• Initial prime in the least set of exactly n+1 consecutive primes with n gaps all multiples of 4.at n=6A259360
• Primes p(n) such that p(n) + p(n+3) = p(n+1) + p(n+2) and p(n) + p(n+4) = p(n+2) + p(n+3).at n=31A266882
• Primes p such that exactly one of 2^(p+1) - 3 and 2^(p+1) + 3 is a prime.at n=13A331487
• Array read by downward antidiagonals: for m >= 3 and n >= 1, T(m,n) is the first prime that starts a string of exactly n consecutive primes that are congruent (mod m).at n=37A359272
• Primes p such that p + 8, p + 12 and p + 20 are also primes.at n=39A384299
• Prime numbersat n=3875