31723
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- a(1) = 1; set of digits of a(n)^2 is a subset of the set of digits of a(n+1)^2.at n=32A066825
- Starting term of the smallest n-chain of numbers whose squares are permutations of the same digits.at n=24A085546
- Prime quadruples: 2nd term.at n=22A136720
- Prime numbers p such that p^3 - (p-1)^2 and p^3 + (p-1)^2 are also primes.at n=36A137474
- 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, 0), (0, 1, 0), (0, 1, 1), (1, -1, -1)}.at n=9A149901
- Primes p such that b=2*p+1 is semiprime, c=2*b+1 is 3-almost prime and d=2*c+1 is 4-almost prime.at n=28A235646
- Numbers that are both lucky-indexed primes and prime-indexed lucky numbers.at n=9A307009
- Primes p such that A001175(p) = 2*(p+1)/7.at n=31A308785
- Primes p such that the concatenation of p^3, p^2, p and 1 is prime.at n=29A323428
- Discriminants of imaginary quadratic fields with class number 37 (negated).at n=27A351675
- Prime numbersat n=3411