26711

Properties

Appears in sequences

• 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=30A078847
• Primes p such that the differences between the 5 consecutive primes starting with p are (2,4,6,6).at n=6A078947
• Near twin primes of order 18: twin primes (p, p+2) such that p+18 and p+20 are primes.at n=36A079304
• Lesser of twin balanced primes (A090403).at n=12A096694
• Primes of the form p^3 + q^3 + r^3, where p, q and r are primes.at n=34A123597
• Records in A134204.at n=34A133244
• Prime numbers n such that n = p1^3 + p2^3 + p3^3, a sum of cubes of 3 distinct prime numbers.at n=12A137365
• Subsequence of A137365 where it is possible to choose p1, p2, p3 so that p1+p2+p3 = prime.at n=12A137366
• Initial members of prime triples (p, p+2, p+6) for which also the sum 3p+8 is prime.at n=33A162001
• Primes p such that (p, p+2, p+6, p+12) is a prime quadruple.at n=38A172454
• Primes p such that the polynomial x^2 + x + p generates only primes for x = 0, ..., 4.at n=20A187057
• Prime numbers p such that x^2 + x + p produces primes for x = 0..4 but not x = 5.at n=11A210363
• a(n) = the first member of a twin prime pair whose sum equals the sums of n consecutive pairs of twin primes.at n=33A226719
• Non-palindromic balanced primes in base 16.at n=32A256090
• Fixed points of A275957; numbers n for which A060125(n) = A225901(n).at n=54A275843
• Balanced primes of order thirteen.at n=11A300364
• Primes p whose reverse q is a semiprime, and of p+q and its reverse one is a prime and the other is a semiprime.at n=36A350781
• Lesser of twin primes p such that p and p+2 are both in A115591.at n=24A367318
• Lesser of sexy happy primes.at n=36A387258
• Prime numbersat n=2930