41609
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes of the form k^2 - 7.at n=20A028883
- Primes p such that p+2, 2p+1, and 2p+3 are also prime.at n=12A069142
- Primes associated with groups in A076077.at n=39A076076
- 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 d-pattern=[2,6,4]; short d-string notation of pattern = [264].at n=35A078848
- Primes p such that the differences between the 5 consecutive primes starting with p are (2,6,4,6).at n=8A078949
- Primes for which the period of the reciprocal equals (p-1)/14.at n=34A135073
- List of primes p with following properties: p = prime(n-1) for some n, p+7 is a square and is equal to prime(n+1)-1.at n=3A158529
- Primes that are anagrams of Fibonacci numbers.at n=29A162390
- Primes p such that reversal(p) - 13 is a square.at n=32A176371
- 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=28A226692
- Primes p with p + 2, prime(p) + 2 and prime(prime(p)) + 2 all prime.at n=9A236481
- Primes p with p + 2, prime(p) + 2, prime(prime(p)) + 2 and prime(prime(prime(p))) + 2 all prime.at n=0A236482
- Smallest member of Sophie Germain pair, where each member of the prime pair is the smallest of its prime triple (p, p+2, p+8).at n=4A237188
- Smallest member of Sophie Germain pair, wherein each member of the prime pair is the smallest of its prime quadruplets (p, p+2, p+8, p+12).at n=2A237256
- Numbers n such that n is a twin prime and 2n + 1 is a twin prime.at n=13A261463
- Primes of the form 11*k^2-11*k+7.at n=29A267290
- a(n) is the smallest prime p such that there is a multiplicative subgroup H of Z/pZ, of odd order and of index 2n, such that for any two cosets H1 and H2 of H, H1 + H2 contains all of (Z/pZ)\0, except that H+H contains all of (Z/pZ)\0 except -H. If no such prime exists, a(n) = 0.at n=27A294615
- Lesser of twin primes p, p+2 such that prime(p) and prime(p+2) are also twin primes.at n=27A332968
- Primes p such that p+2, p*(p+1)/2-2 and p*(p+1)/2+2 are also primes.at n=17A349336
- Primes in A239237.at n=34A361252