28277
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Smallest prime p such that there is a gap of 2n between p and previous prime.at n=23A001632
- Numbers k such that 11*2^k + 1 is prime.at n=17A002261
- Numbers k such that the continued fraction for sqrt(k) has period 79.at n=19A020418
- Smaller of twin prime pairs in consecutively larger seas of composite numbers.at n=24A046928
- First term of weak prime sextet: p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2) < p(m+4)-p(m+3) < p(m+5)-p(m+4).at n=9A054828
- Sums of groups in A075635.at n=35A075636
- Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <= 6 (i.e., when d = 2, 4 or 6) and forming pattern = [2, 4, 6]; short notation = [246] d-pattern.at n=33A078847
- a(1)=2; a(n) for n>1 is the smallest prime number > a(n-1) such that the concatenation of all previous terms is also prime.at n=36A080155
- Smallest member of a pair of consecutive twin prime pairs that have three primes between them.at n=34A089635
- Let n range through the odd numbers skipping multiples of 5; a(n) = n-th prime ending in n.at n=30A089779
- Numbers k such that k and k^2 use only the digits 2, 5, 7, 8 and 9.at n=8A137116
- Primes p such that the polynomial x^2 + x + p generates only primes for x = 1..6.at n=6A144051
- Minimal exponents m such that the fractional part of (3/2)^m reaches a maximum (when starting with m=1).at n=16A153663
- Number of ways to place zero or more nonadjacent 0,0 1,0 2,0 3,0 4,0 polyhexes in any orientation on a planar nXnXn triangular grid.at n=7A155237
- Number of partitions of n such that the number of parts is divisible by the smallest part.at n=38A168657
- Lesser of twin primes p1 such that p1*p2+-6 are prime numbers.at n=14A174955
- Primes that are the average of the members of emirp pairs.at n=28A178581
- Nonpalindromic primes that are the average of the members of emirp pairs.at n=20A178585
- Primes that are the average of the members of more than one emirp pair.at n=6A178587
- Primes that are the average of the members of exactly 2 emirp pairs.at n=3A178588