22637

Properties

Appears in sequences

• Numbers k such that the continued fraction for sqrt(k) has period 53.at n=33A020392
• Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 17.at n=25A050966
• Numbers k such that (14^k + 1)/15 is a prime.at n=4A057180
• a(n) = A077700(n+1)/A077700(n).at n=19A077701
• Primes p such that 11 is the largest of all prime factors of the numbers between p and the next prime (cf. A052248).at n=20A080187
• Initial members of 25 consecutive primes in a 5 X 5 spiral wherein the mean of all 12 sums is prime.at n=38A094458
• Primes p such that p + 2 and p^2 + 2^2 are primes.at n=38A107312
• Primes p such that p+2, p*(p+2)+18 and p*(p+2)+20 are also prime.at n=5A130737
• Primes p such that continued fraction of (1 + sqrt(p))/2 has period 17 : primes in A146340.at n=32A146362
• First primes beginning a chain of 4 primes indexed equidistantly (n-th, (n+b)-th, (n+2b)-th, (n+3b)-th primes) whose sum of squares is the square of two times a prime and with b <= n.at n=19A214265
• Primes p with q = p + 2 and prime(q) + 2 both prime.at n=38A236457
• Primes p such that p^k is zeroless for k=0,...,5.at n=22A253645
• Subtract 1 from the terms of A256407.at n=38A256410
• Partial sums of A263614 starting at n=2.at n=40A263615
• a(1)=2; for n > 1, a(n) is the square root of the smallest square with a(n-1) as a prefix in base 10.at n=15A308055
• Number of nonnegative integer matrices with sum of entries equal to n and no zero rows or columns, whose entries are all distinct.at n=21A321660
• Odd numbers k such that the four consecutive odd numbers starting with k have a total of 5 prime factors counting multiplicity.at n=33A328489
• Lesser of twin primes (A001359) being both half-period primes (A097443).at n=26A347225
• a(n) is the least positive integer that can be expressed as the sum of a prime number and a fourth power of a nonnegative integer in exactly n ways.at n=7A365291
• Lowest prime p in a ladder of 4 consecutive primes p, p+2, p+6, p+14.at n=13A372247