40699

Properties

Appears in sequences

• Primes that remain prime through 3 iterations of function f(x) = 7x + 6.at n=38A023290
• Least prime in A031928 (lesser of 10-twins) whose distance to the next 10-twin is 6*n.at n=38A052354
• Primes having only 0,4,6,8,9 as digits.at n=38A061372
• Successive record-setters for tau(n+1)*tau(n-1)/tau(n)^2, where tau(n) is the number of divisors of n.at n=24A094342
• Primes from merging of 5 successive digits in decimal expansion of Catalan's constant.at n=14A104919
• Least j > 1 such that j^2 = (4*n^2 + 2)*(k^2) + (4*n^2 + 2)*k + 1.at n=21A106231
• 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, -1, 0), (-1, 0, 1), (-1, 1, -1), (1, 0, 1), (1, 1, -1)}.at n=9A149221
• Prime numbers such that, in base 10, all their proper prefixes and suffixes represent composites.at n=31A254754
• Twin primes both of which are the sum of three positive cubes.at n=31A272376
• Primes p such that min(d(p-1), d(p+1)) is larger than the corresponding values of all previous primes, where d(n) is the number of divisors of n (A000005).at n=15A319823
• Primes p such that d(p^2-1) sets a record, where d(n) is the number of divisors of n.at n=26A335325
• Primes having only {0, 4, 6, 9} as digits.at n=20A386073
• Prime numbersat n=4263