44171

Properties

Appears in sequences

• Primes of the form k^3 + (k+1)^2.at n=17A100662
• a(n) = n^3 + (n+1)^2.at n=35A100705
• Numbers whose natural logarithm, in base 10, starts with 10 distinct digits.at n=16A113509
• Prime septets of form k, k+2100, k+4200, k+6300, k+8400, k+10500, k+12600.at n=32A123107
• Prime numbers p of the form 10k+1 for which the quintic polynomial x^5-x-1 modulus p is factorizable into five binomials.at n=11A135842
• Prime numbers p for which the quintic polynomial x^5 - x - 1 modulo p completely factors into linear polynomials.at n=39A135844
• Numbers n such that the n-th tribonacci number as defined by A000213 is prime.at n=24A157611
• Primes of the form (p-1)^3/8 + (p+1)^2/4 where p is prime.at n=9A163424
• Primes p of the form 4m+3 for which there are exactly as many primitive roots modulo p in the interval [0,p/2] as in the interval [p/2,p].at n=32A172490
• Primes of the form 5n^2 - 9.at n=16A201790
• The number of P-positions in the game of Nim with up to five piles, allowing for piles of zero, such that the total number of objects in all piles doesn't exceed 2n.at n=20A238147
• Primes that yield a prime when any single digit is replaced by its 10's complement.at n=32A345529
• Prime numbersat n=4597