56099

Properties

Appears in sequences

• Fourth term of balanced prime quartets: p(m-2)-p(m-3) = p(m-1)-p(m-2) = p(m)-p(m-1).at n=20A054803
• a(n) is the smallest lesser of twin prime p, such that prime(2 + p) - prime(p) = 2n (cf. A096474).at n=30A096475
• The lesser of twin prime pairs with each prime in a different century.at n=21A158277
• a(n) is the smallest number that is the sum of both 2n-1 and 2n+1 consecutive primes.at n=36A213174
• Least prime p such that pi(p*n)^2 + 1 = prime(q*n) for some prime q.at n=21A260219
• Septic artiads: primes p congruent to 1 mod 14 for which all solutions of the congruence x^3 + x^2 - 2x - 1 == 0 (mod p) are 7th power residues.at n=13A270800
• a(n) is the smallest prime that is the sum of both 2n-1 and 2n+1 consecutive primes.at n=36A288340
• Primes p such that A001175(p) = (p-1)/7.at n=34A308792
• Primes p such that A001177(p) = (p-1)/7.at n=22A308800
• a(n) = (1/8)*A357285.at n=19A357286
• First of three consecutive primes p, q, r such that p + q - r, p^2 + q^2 - r^2 and p^3 + q^3 - r^3 are all prime.at n=22A358744
• Primes having only {0, 5, 6, 9} as digits.at n=24A386078
• Prime numbersat n=5692