22157

Properties

Appears in sequences

• Primes that remain prime through 3 iterations of function f(x) = 6x + 7.at n=17A023289
• Primes that remain prime through 3 iterations of function f(x) = 9x + 4.at n=40A023297
• Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 10.at n=30A031423
• Primes of the form k(k+1)/2+2 (i.e., two more than a triangular number).at n=40A055472
• n is prime and is the concatenation of numbers n_1, n_2, n_3, in that order, with n_1 - n_2 = n_3. (Do not allow leading zeros for nonzero n_i.)at n=21A067861
• Primes and their indices such that when their respective SOD's are both prime, the SOD of the index is the nextprime of the prime SOD.at n=34A117458
• Primes congruent to 32 mod 59.at n=39A142759
• Primes congruent to 14 mod 61.at n=39A142812
• Numbers n with property that n^2 starts and ends with 49.at n=6A159815
• Primes p such that 2*p^3-+15 are also prime.at n=29A174364
• Primes of the form (n^2+1)/26.at n=22A208292
• Smallest primes a(n) such that 1 + a(1), 1 + a(1) + a(1)*a(2), ..., 1 + a(1) + a(1)*a(2) + ... + a(1)*a(2)*a(3)*...*a(n) are prime numbers with a(1) = 2 and a(i) < a(i+1).at n=41A227613
• Expansion of G(1) where G(k) = 1 + q^k / ( 1 - q^k * G(k+2) ).at n=29A238434
• Lesser of twin primes of (29n + 1, 29n + 3).at n=12A248620
• Primes of the form 2k^2 + k + 2.at n=19A249606
• Subtract 1 from the terms of A256407.at n=37A256410
• Let F(g,p) be the frequency of g up to prime nextprime(p+1). Primes p such that F(2,p) = F(4,p) and g = 2 or 4.at n=47A274122
• Coefficients in the expansion of 1/([r] + [2r]x + [3r]x^2 + ...); [ ] = floor, r = 6/5.at n=46A279778
• a(1)=1, a(2)=2, a(3)=3, a(n) = 3*a(n-3)+2*a(n-2)+a(n-1).at n=12A285794
• Sum of the third largest parts in the partitions of n into 8 parts.at n=41A308996