37699

Properties

Appears in sequences

• Third term of weak prime sextet: p(m-1)-p(m-2) < p(m)-p(m-1) < p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2).at n=13A054830
• Primes with digit sum = 34.at n=13A106769
• Number of binary trees of weight n where leaves have positive integer weights, where the order of subtrees is insignificant. Commutative non-associative version of partitions of n.at n=13A113822
• Primes p such that 42*p-1, 42*p+1 and 48*p-1, 48*p+1 are twin primes.at n=13A138697
• Primes which are sum of at least two consecutive fourth powers.at n=10A165347
• Largest prime p(k) > p(n) such that 1/p(n) + 1/p(n+1) + ... + 1/p(k) < 1, where p(n) is the n-th prime.at n=13A225671
• Intersection of A251964, A252280 and A252281.at n=40A252283
• Coordination sequence for (3,6,8) tiling of hyperbolic plane.at n=17A265077
• Let N(p,i) denote the result of applying "nextprime" i times to p; a(n) = smallest prime p such that N(p,3) - p = 2*n, or -1 if no such prime exists.at n=40A339943
• a(n) is the constant term in expansion of Product_{k=1..n} (x^(2*k-1) + 1 + 1/x^(2*k-1)).at n=14A369343
• Prime numbers of the form A385986(1) + ... + A385986(k) for some k > 0.at n=38A385987
• Prime numbersat n=3993