43781
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Prime quadruples: numbers k such that k, k+2, k+6, k+8 are all prime.at n=24A007530
- Initial members p of prime 5-tuples (p, p+2, p+6, p+8, p+12).at n=8A022006
- Number of horizontally convex n-ominoes in which the top row has exactly 1 square, which is not above the rightmost square in the second row and the rightmost square in the second row is above the leftmost square in the third row.at n=12A049222
- Primes p such that three (the maximum number) primes occur between p and p+12.at n=17A086140
- Primes p in prime quadruplets (p,p+2,p+6,p+8) at the end of maximal gaps in A113404.at n=8A113403
- Row sums of triangle A131327.at n=20A131328
- Primes in the sequence A003294 of certain fourth powers bases.at n=33A134820
- Primes p such that the polynomial x^2 + x + p generates only primes for x = 0, ..., 4.at n=26A187057
- Constant term of the reduction by x^2 -> x+1 of the polynomial p(n,x) defined below in Comments.at n=19A192746
- Prime numbers p such that x^2 + x + p produces primes for x = 0..4 but not x = 5.at n=14A210363
- Primes p such that 2p^2-1, 3p^2-2 and 4p^2-3 are also prime.at n=16A213079
- Primes p such that 2p^2-1, 3p^2-2, 4p^2-3, and 5p^2-4 are also prime.at n=1A213107
- Numbers n such that (7^n + 4^n)/11 is prime.at n=7A218373
- The first member of a twin prime pair whose sum equals the sums of k consecutive smaller pairs of twin primes, k=3.at n=29A226692
- Primes p in prime 5-tuples (p, p+2, p+6, p+8, p+12) at the end of the maximal gaps in A201073.at n=4A233432
- Table read by rows: list of prime 5-tuples of the form (p, p+2, p+6, p+8, p+12).at n=40A270998
- Table read by rows: list of prime 5-tuples of the form (p, p+4, p+6, p+10, p+12).at n=41A270999
- Table read by rows: list of prime sextuplets (p, p+4, p+6, p+10, p+12, p+16).at n=25A271000
- Number of aperiodic compositions of n where every pair of adjacent parts (including the last with the first) is relatively prime.at n=17A328670
- Happy Honaker primes.at n=39A343192