25301

Properties

Appears in sequences

• Prime quadruples: numbers k such that k, k+2, k+6, k+8 are all prime.at n=21A007530
• Primes at which the difference pattern X,2,4,2,Y (X and Y >= 6) occurs in A001223.at n=9A052165
• Leading diagonal of triangle in A072467.at n=22A072468
• Prime numbers occurring at integer Pythagorean distance (radius) from 1 in Ulam square prime-spiral. Primes on axes are excluded.at n=34A078765
• Primes p such that p*(p-1) divides 3^(p-1)-1.at n=26A081763
• a(n) = nextprime(A090117(n)), the smallest prime following squares listed in A090117 and also the distance of a(n) from the preceding prime is 2*n.at n=19A090119
• a(n) is the smallest lesser of twin prime p, such that prime(2 + p) - prime(p) = 2n (cf. A096474).at n=28A096475
• Primes p such that p and p+2 are twin primes and also the strings 987654321p and 987654321p+2 are twin primes.at n=10A103818
• Primes p equal to the sum of two successive sexy primes + 1 such that p + 6 is also prime.at n=34A104043
• The floor(exp(n))-th irregular prime.at n=7A105461
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, -1, 1), (-1, 0, 1), (0, 1, 1), (1, 0, -1)}.at n=10A148445
• Primes of the form 10n^2+6n+1.at n=19A154409
• Primes of the form 13*n^2+3*n+1.at n=22A176783
• a(n) is the smallest prime q such that (q-p)/(r-q) = n, where p<q<r are consecutive primes (or 0 if none exist).at n=19A179256
• Least n-gap prime: a(n) = least prime p for which there is no prime between n*p and n*q, where q is the next prime after p.at n=31A195325
• Number of partitions of n into exactly 5 different parts with distinct multiplicities.at n=30A212116
• Minimal natural number (in decimal representation) with n prime substrings in base-7 representation (substrings with leading zeros are considered to be nonprime).at n=12A217307
• Lower twin prime-indexed primes in the sequence of prime(prime(i)).at n=3A228054
• Initial primes in prime quadruplets (p, p+2, p+6, p+8) preceding the maximal gaps in A113404.at n=7A229907
• Primes p such that 2*p + 23 is a square.at n=34A269785