67651
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Smallest prime p such that first n primes (p_1=2, ..., p_n) are quintic residues mod p.at n=3A002226
- First member of a prime quadruple in a 2p-1 progression.at n=29A057327
- Least j > 1 such that j^2 = (4*n^2 + 2)*(k^2) + (4*n^2 + 2)*k + 1.at n=25A106231
- Smallest primes starting a complete three iterations Cunningham chain of the second kind.at n=18A110024
- Primes in A005891 = Centered pentagonal numbers: (5n^2 + 5n + 2)/2.at n=26A145838
- 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, 1), (-1, 0, 1), (-1, 1, -1), (1, 0, -1), (1, 1, 1)}.at n=9A149572
- Number of n X 3 0..1 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly one mistake.at n=8A278671
- Length of n-th iterate of the mapping 00->0010, 01->100, 10->011 in A289165.at n=26A289177
- a(n) = 10*Fibonacci(n) + (-1)^n.at n=20A372242
- Expansion of e.g.f. exp( exp(x) * (1 + x^2 / 2) - 1 ).at n=8A372623
- a(n) is the smallest prime number that contains Fibonacci(n) as a substring.at n=20A381099
- Prime numbersat n=6740