19583
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Number of proper factorizations of p1^n*p2^7, where p1 and p2 are distinct primes.at n=11A031130
- Primes p such that there is no Carmichael number pqr, p<q<r q, r primes.at n=22A051663
- Father primes of order 8.at n=30A136077
- a(n) is n-th prime == -1 (mod 6n).at n=31A138905
- a(n) is n-th prime == -1 (mod 6n).at n=33A138905
- Primes congruent to 54 mod 59.at n=39A142781
- Primes congruent to 2 mod 61.at n=35A142800
- K-bit primes p such that p-2^i and p+2^i are composite for 0<=i<=K-1.at n=9A153352
- Primes p such that (p-7)/8 and 8p + 7 are both prime.at n=21A158238
- a(n) = 576*n - 1.at n=33A158372
- a(n) = 34*n^2 - 1.at n=23A158588
- Monotonic ordering of nonnegative differences 3^i-10^j, for 40>= i>=0, j>=0.at n=23A192159
- Irregular triangle T(n,k) where row n contains the maximal nodes in the graph of XOR connected primes of interval [2^n+1,2^(n+1)-1], n>=4.at n=21A200321
- Primes of the form n^2 - 17.at n=40A201314
- Partitions with parts repeated at most twice and repetition only allowed if first part has an odd index (first index = 1).at n=53A227134
- Number of partitions of n such that at least half the parts are identical.at n=41A237269
- Primes whose number of symmetric connections to other primes within the same power of two interval exceeds the number of symmetric connections to composites.at n=21A247607
- Odd numbers m that are neither of the form p + 2^k nor of the form p - 2^k with 2^k < m, k >= 1, and p prime.at n=24A255967
- Primes with repdigit indices (in decimal).at n=28A258433
- Primes p such that 6p - 1 and 6p + 1 are twin primes and ((6p-1)^2 + (6p+1)^2) / 10 is prime.at n=15A283957