42961

Properties

Appears in sequences

• Half-quartan primes: primes of the form p = (x^4 + y^4)/2.at n=18A002646
• Numbers n such that n_0=n_1=n_2, where n_i = (n+i)-th prime - sigma(n+i) - phi(n+i).at n=3A048791
• Numbers k such that (RSA-768) + 10^k is prime where RSA-768 is the 232 decimal digit RSA challenge number A391940(21).at n=14A113928
• Triangle read by rows: T(n,k) = A022167(n,k)*n!/binomial(n,k) + 1 - n!.at n=22A176418
• Triangle read by rows: T(n,k) = A022167(n,k)*n!/binomial(n,k) + 1 - n!.at n=26A176418
• Number of 2 X 2 matrices having all terms in {1,...,n} and determinant in the closed interval [0,n].at n=28A211057
• Expansion of Product_{n>=1} (1 + H(x^n)) where H(x) is the g.f. of A000081.at n=14A244519
• Primes of form n^2 + 28561.at n=18A256841
• Primes of the form x^2 + y^2 with x > y such that x^2 - y^2 is a square and x^4 + y^4 is a prime.at n=5A282867
• Primes equal to an octagonal number plus 1.at n=22A285792
• Prime numbers p such that 3*p - 2 is the square of a prime number.at n=21A289135
• Primes p that set a new record for the size of the smallest prime q such that q^(p-1) == 1 (mod p^2), i.e., such that p is a base-q Wieferich prime.at n=33A289379
• Indices where Mertens function A002321 reaches record amplitudes between zeros.at n=15A304241
• Prime numbersat n=4491