22679

Properties

Appears in sequences

• Numbers k such that in the ring Z[sqrt(3)] the norm of (-1+sqrt(3))^k-1 is prime.at n=17A067834
• Prime(n) and prime(n+2) use the same digits.at n=30A069794
• a(n) = r-th prime of the form (p-q)/(q-r) with r=prime(n+1), q=prime(n+2), and primes p > q.at n=63A089577
• Primes p such that tau(p-1)+tau(p+1) is larger than for any previous term. (Smallest prime sandwiched between more composite numbers.)at n=28A090481
• Largest prime p such that the sum of n consecutive primes plus p is equal to (n+1)^3.at n=27A100572
• Least prime p such that sigma(x)=sigma(p) has exactly n solutions.at n=40A115374
• Numbers k such that either k or k+1 is divisible by the numbers from 1 to 10.at n=34A131663
• a(n) = 70*n^2 - 1.at n=17A158736
• Expansion of x*(1 + x)/(1 - 28*x + x^2).at n=3A159669
• Numbers m such that m mod k is k-1 for all k = 2..9.at n=8A166931
• Primes p such that q*p+-Mod(p,q) are primes, for q=7.at n=32A178387
• Primes of the form highly abundant number - 1.at n=53A181562
• The largest number m such that sigma(m) = A007368(n), where A007368(n) = the smallest k such that sigma(x) = k has exactly n solutions.at n=40A184394
• Primes of the form 43*n^2 + 3*n + 1.at n=35A185658
• Numbers k for which d(k-1) + d(k+1) is a record, where d(k) is the number of divisors of k.at n=33A189828
• Primes p such that floor(log(p)) + p^2 is prime.at n=16A225626
• Primes p such that 2*p + 11 is a square.at n=30A269784
• Primes p such that A276173(p) = p.at n=34A276174
• Primes of the form k!9-1, where k!9 is the nonuple factorial number (A114806).at n=8A289755
• Primes p such that d(p^2-1) sets a record, where d(n) is the number of divisors of n.at n=23A335325