25303
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Largest prime == 7 (mod 8) with class number 2n+1.at n=23A002147
- Primes that do not divide any term of the Lucas 4-step sequence A073817.at n=22A106300
- Prime quadruples: 2nd term.at n=21A136720
- Primes of the form 2*n^2 + 10*n + 3.at n=15A221902
- Smallest prime q such that 2n+1 = p^3 - 2q for some odd prime p, or 0 if no such prime exists.at n=22A224730
- Primes p in prime triples (p, p+4, p+6) at the end of the maximal gaps in A201596.at n=15A233435
- Consider a number of k digits n = d_(k)*10^(k-1) + d_(k-1)*10^(k-2) + … + d_(2)*10 + d_(1). Sequence lists the numbers n such that Sum_{i=1..k-1}{sigma(Sum_{j=1..i}{d_(j)*10^(j-1)})} = Sum_{i=1..k-1}{phi(Sum_{j=1..i}{d_(k-j+1)*10^(i-j)})} (see example below).at n=16A244068
- Sum of the squarefree parts of the partitions of n into 8 parts.at n=33A309484
- Smaller term p1 of the first of two consecutive cousin prime pairs (p1,p1+4) and (p2,p2+4) such that the distance (p2-p1) is a square.at n=24A339084
- Primes that yield a prime when any single digit is replaced by its 10's complement.at n=27A345529
- Primes in A239237.at n=19A361252
- Primes having only {0, 2, 3, 5} as digits.at n=41A386042
- Pairs of prime numbers (p,q), p minimal, such that prime(n) = p^3 - 2*q, or (0,0) if no such pair exists.at n=29A392479
- Prime numbersat n=2790