113147

Properties

Appears in sequences

• Initial members of prime octuplets (p, p+2, p+6, p+12, p+14, p+20, p+24, p+26).at n=2A022012
• Initial members of prime nonuplets (p, p+2, p+6, p+12, p+14, p+20, p+24, p+26, p+30).at n=2A022546
• Primes p = prime(k) such that prime(k) + prime(k+7) = prime(k+1) + prime(k+6) = prime(k+2) + prime(k+5) = prime(k+3) + prime(k+4).at n=23A064102
• Least member p1 of prime octuplets (p1, p2, p3, ..., p8 = p1 + 26), the eight p's being consecutive primes.at n=4A065706
• Primes p such that p, p+2, p+6, p+12 and p+14 are consecutive primes.at n=15A078946
• Number of groups of order 7^n.at n=7A090140
• Primes p such that p + 2, 18*p^2 + 1, and 18*(p+2)^2 + 1 are all primes.at n=31A115272
• A monotonic doubly-fractal sequence. Erase the last (rightmost) digit of every integer: what is left is the sequence itself. The erased digits, one by one, form also the sequence itself.at n=45A127204
• Primes p such that the polynomial x^2 + x + p generates only primes for x = 1..6.at n=7A144051
• A triangle of structure called "Polynomial on residue classes" (PORC).at n=27A158106
• Primes p such that (p reversed)+10 is a square.at n=17A167474
• Primes p such that (p, p+2, p+6, p+12, p+14, p+20) is a prime sextuple.at n=7A172456
• Primes p such that the polynomial x^2 + x + p generates only primes for x = 0, ..., 4.at n=36A187057
• Primes p such that the polynomial x^2 + x + p generates only primes for x = 1..5.at n=15A187058
• Prime numbers p such that x^2 + x + p produces primes for x = 0..6 but not x = 7.at n=2A210365
• n-th prime that begins with prime(n).at n=29A229206
• Number of groups of order prime(n)^7.at n=3A232107
• Decimal prime numbers which can be split into three equal-sized prime parts whose sum is prime. No leading zeros.at n=33A243767
• Primes p such that p - m^2, m = 2, 4, 6, 8, are all (positive) primes.at n=30A246874
• Initial members of prime sextuples (p, p+2, p+12, p+14, p+24, p+26).at n=7A253624