165701

Properties

Appears in sequences

• Initial members p of prime 5-tuples (p, p+2, p+6, p+8, p+12).at n=11A022006
• Initial members of prime septuplets (p, p+2, p+6, p+8, p+12, p+18, p+20).at n=1A022009
• Primes at which difference pattern X2424Y (X and Y >= 6) occurs in A001223.at n=5A052167
• Primes p such that three (the maximum number) primes occur between p and p+12.at n=23A086140
• Least prime p such that the interval [p,p+log(p)] contains n primes.at n=4A120934
• Least prime of a 6-tuplet that contains both a prime quadruple and a sexy prime quadruple.at n=5A160264
• Primes p of a quadruplet (p,p+2,p+6,p+8) such that (p+(p+2)+(p+6)+(p+8))/60 is a prime.at n=6A177032
• Initial primes in prime septuplets (p, p+2, p+6, p+8, p+12, p+18, p+20) preceding the maximal gaps in A201051.at n=1A201249
• Prime numbers p such that x^2 + x + p produces primes for x = 0..4 but not x = 5.at n=22A210363
• a(n) is the initial member of the least pair of prime quadruples (of the form p, p+2, p+6, p+8) with a difference of 30*n, with no other prime quadruple between the pair.at n=37A213904
• Primes p such that 4*p is greater than the greatest prime factor of p^4 -1 and p^4 + 1.at n=35A218849
• Primes p such that k*p is greater than the greatest prime factor of p^k - 1 and p^k + 1 for k = 1 to k = 4.at n=4A218908
• Primes p in prime septuplets (p, p+2, p+6, p+8, p+12, p+18, p+20) at the end of the maximal gaps in A201051.at n=0A233425
• Initial members of prime sextuples (n, n+2, n+6, n+8, n+18, n+20).at n=3A252862
• Initial members of prime septuplets.at n=3A257124
• Primes p such that the 6 consecutive primes starting with p are congruent to 11, 13, 17, 19, 23, 29 (modulo 30) in this order.at n=3A351597
• Primes p such that p + 2, p + 8, p + 12, p + 18 and p + 20 are also primes.at n=8A383393
• Least prime p such that p+A135311(k) is prime for 2 <= k <= n, but not for k = n+1, or 0 if no such prime exists.at n=6A388062
• Prime numbersat n=15150