22397

Properties

Appears in sequences

• Number of 1's in n-th term of A006711.at n=37A022477
• Decimal part of a(n)^(1/3) starts with a 'nine digits' anagram.at n=8A034278
• Prime numbers that are the sum of the first k lucky numbers, A046279(k), for some k.at n=8A046281
• Primes with 4 distinct digits that remain prime (no leading zeros allowed) after deleting all occurrences of its digits d.at n=6A057880
• Class 6+ primes.at n=28A081634
• Home primes whose homeliness is greater than 3.at n=34A133961
• Home primes whose homeliness is 4.at n=23A133962
• a(n) = prime(A135025(n)).at n=7A145842
• Primes p such that continued fraction of (1+sqrt(p))/2 has period 5 : primes in A146330.at n=38A146350
• Numbers with d digits (d>0) which have at least 2d distinct primes as substrings.at n=17A168167
• Primes with nine embedded primes.at n=5A179917
• 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=42A227613
• Least prime of the form prime(n)^2 + k^2, or 0 if none.at n=34A240130
• a(1) = 5; a(n) for n > 1 is the smallest prime > a(n-1) that differs from a(n-1) by a square.at n=49A246760
• a(n) = least m > 1 such that m + (prime(n)#)^n is prime.at n=46A263925
• Primes prime(k) such that (prime(k)*prime(k+1)+1)/2 is prime.at n=35A266163
• Prime time primes (of the form HMMSS with primes H < 24 and MM, SS < 60) such that the corresponding number of seconds after midnight is also prime.at n=17A295000
• Dirichlet convolution of the integer partition numbers A000041 with the strict partition numbers A000009.at n=37A323765
• First of three consecutive primes p,q,r such that p+q, p+r and q+r are all triprimes.at n=8A362203
• Prime numbersat n=2507