20759

Properties

Appears in sequences

• Numbers that are the sum of 4 positive 7th powers.at n=22A003371
• Number of 4-level rooted trees with n leaves.at n=11A007713
• Number of partitions in parts not of the form 21k, 21k+1 or 21k-1. Also number of partitions with no part of size 1 and differences between parts at distance 9 are greater than 1.at n=47A035979
• Euler transform applied three times to partition triangle A008284.at n=65A055886
• Primes p such that 2*p+1 and ((2*p+1)^2 + 1)/2 = p^2 + (p+1)^2 are primes.at n=25A098717
• Smallest prime p such that p == 1 (mod prime(n)) and not p == 1 (mod k) for 2 < k < prime(n).at n=24A116605
• Primes p = prime(i) of level (1,3), i.e., such that A118534(i) = prime(i-3).at n=35A118467
• Quotients A128356(n)/prime(n).at n=27A128357
• Quotients A128452(p+1)/p for prime p = A000040(n).at n=27A128456
• Primes p such that q = p+d (with d >= 6) is the next prime and both p and q are Sophie Germain primes.at n=35A128825
• Prime numbers p for which the quintic polynomial x^5 - x - 1 modulo p completely factors into linear polynomials.at n=14A135844
• Prime numbers p not of the form 10*k+1 for which the quintic polynomial x^5-x-1 modulus p is factorizable into five binomials.at n=10A135845
• Primes congruent to 50 mod 59.at n=39A142777
• Primes congruent to 19 mod 61.at n=37A142817
• Primes p such that both pi(p) and the concatenation of pi(p) and p are prime, where pi is the prime counting function.at n=34A155032
• Sophie Germain primes p surrounded by Sophie Germain primes.at n=2A171161
• (1/2)*A206803.at n=36A206804
• a(n) = n-th smallest prime congruent to 1 modulo prime(n).at n=24A234387
• Number of ternary digits in the high-water marks of the terms of the continued fraction of the base 3 Champernowne constant (A077772).at n=10A244333
• Greatest of 4 consecutive primes with consecutive gaps 2, 4, 6.at n=25A290706