25469

Properties

Appears in sequences

• Smallest prime p such that the product of q/(q-1) over the primes from prime(n) to p is greater than 2.at n=35A001275
• Prime number spiral (clockwise, Northwest spoke).at n=26A053999
• Expansion of (1+x^4*C)*C^4, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108.at n=8A071745
• Numerators of the convergents of the continued fraction for log(2).at n=14A079942
• Starting positions of strings of three 2's in the decimal expansion of Pi.at n=28A083606
• a(0) = 1; for n >= 0, a(n+1) = smallest prime factor of a(n)! + 1.at n=6A096225
• Prime(p^2) where p = prime(n).at n=15A096327
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (-1, 1, 1), (0, -1, 1), (0, 1, -1), (1, 1, 1)}.at n=8A149770
• Primes that are the difference between a fourth power and a positive cube.at n=34A161735
• Initial members of prime triples p < q < r such that r-q = n*(q-p).at n=25A181994
• Least positive x in the Diophantine equation x^3 + y^3 = n*z^3 (with x >= y and y != 0).at n=10A190356
• Number of connected triangle-free graphs on n nodes with edge chromatic number 3.at n=12A207408
• Primes q = 4*p+1, where p == 2 (mod 5) is also prime.at n=41A221981
• Smallest primes a(n) such that 1 + a(1), 1 + a(1) + a(1)*a(2), ..., 1 + a(1) + a(1)*a(2) + ... + a(1)*a(2)*a(3)*...*a(n) are prime numbers with a(1) = 2 and a(i) < a(i+1).at n=45A227613
• a(n) is the least prime p such that the second forward difference of three consecutive primes p, q and r is n = (p - 2q + r)/2.at n=25A316791
• Number of partitions of n such that 3*(least part) <= greatest part.at n=37A363211
• Prime numbersat n=2809