22109

Properties

Appears in sequences

• Smallest prime p such that the product of q/(q-1) over the primes from prime(n) to p is greater than 2.at n=33A001275
• Incorrect duplicate of A297408.at n=24A007355
• Numbers k such that the continued fraction for sqrt(k) has period 83.at n=19A020422
• a(n) = position of n^3 + (n+1)^3 + (n+2)^3 in A003072.at n=39A024972
• Primes p such that the number of distinct prime divisors of all composite numbers between p and the next prime is 5.at n=35A075585
• Least prime that begins a run of exactly 2n-1 primes between two consecutive prime-indexed primes.at n=12A088988
• Primes p such that googol - p is prime.at n=13A108252
• Primes p such that sod(p)=2*sod(nextprime(p)).at n=38A175546
• Number of 4-bead necklaces labeled with numbers -n..n not allowing reversal, with sum zero with no three beads in a row equal.at n=24A208946
• a(n) = k is the smallest number such that k^3 + 1 has exactly n distinct prime factors.at n=10A219108
• Primes q = 4*p+1, where p == 2 (mod 5) is also prime.at n=36A221981
• Smallest known example of a 3 X 3 X 3 generalized arithmetic progression (GAP) of 27 primes, listed in increasing order.at n=23A290967
• Number of partitions lambda of n that satisfy gcd(lambda_i, n-1) = 1 for all i.at n=37A323256
• a(n) = A159065(n+1) - A334701(n).at n=30A335677
• Primes that contain at least two different even digits and at least two different odd digits such that any permutation of the odd digits and any permutation of the even digits produces a prime. Permutations with leading 0's are disregarded; i.e., if permutations of even digits in a prime p produce a number with a leading 0 that is not prime, p is still in the sequence.at n=35A377564
• Prime numbersat n=2478