62987

Properties

Appears in sequences

• Twin primes belonging to packs of four or more twin pairs.at n=12A068220
• a(n) = p is the smallest prime introducing a consecutive prime-difference pattern as follows: [2,2n,2], i.e., [p, p+2, p+2+2n, p+2+2n+2] are consecutive primes. Increasing middle prime gap in the immediate neighborhood of two small gaps(=2); a(n) = 0 if no such pattern exists.at n=19A082512
• Prime quadruples: 3rd term.at n=27A136721
• Prime in the middle of a list of 7 consecutive primes such that each of them is a member of a twin pair.at n=4A227063
• Prime(k) such that each of the three preceding and also each of the three following primes are twin primes.at n=7A227323
• Primes p with P(p-1) also prime, where P(.) is the partition function (A000041).at n=27A234569
• Number of partitions of n with difference 7 between the number of odd parts and the number of even parts, both counted without multiplicity.at n=46A242698
• Smallest prime starting a sequence of 4 consecutive odd primes such that the center of the symmetrical gaps is 2n.at n=19A263171
• Solution of the complementary equation a(n) = a(n-1) + a(n-2) + 2*b(n-1) - b(n-2), where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4.at n=19A294421
• The first of three consecutive primes the sum of which is equal to the sum of three consecutive squares.at n=12A298223
• Prime numbersat n=6319