38693
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Pairs of consecutive primes {p,q} for which the numbers of distinct residues of all factorials mod p and mod q coincide.at n=38A210242
- Expansion of (1/(1 - x))*Product_{k>=1} 1/(1 - x^k)^p(k), where p(k) is the number of partitions of k (A000041).at n=15A291552
- a(n) = Sum_{k=1..n} k^2*tau_3(k), where tau_3 is A007425.at n=22A319088
- Primes p such that 47^(p-1) == 1 + A*p (mod p^2) and |A/p| is a new record low.at n=6A338646
- Prime numbersat n=4076