22651
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes of form k^2 + k + 1.at n=43A002383
- Primes of the form p^k - p + 1 for prime p.at n=18A034915
- Primes of the form p^2 - p + 1 where p is prime.at n=7A074268
- First prime after phi(prime(n)^2).at n=35A079477
- Primes of the form p^k - p^(k-1) + 1 for some prime p and integer k > 1.at n=17A087126
- p^2-p+1 central polygonal numbers with prime indices A002061(prime(n)).at n=35A119959
- Primes of the form p^e - p^(e-1) + p^(e-2) - ... + (-1)^e, where p is prime.at n=16A127727
- Primes congruent to 20 mod 61.at n=35A142818
- 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, 1, -1), (-1, 1, 0), (0, 0, 1), (1, 0, -1)}.at n=11A148128
- Primes of the form 2n^2+18n+7, n>=0.at n=13A154592
- Noncomposite numbers in the southwestern ray of the Ulam spiral as oriented on the March 1964 cover of Scientific American.at n=18A168026
- Primes p such that q*p+-Mod(p,q) are primes, for q=7.at n=31A178387
- Primes of the form n^2 + n + 1 where n is nonprime.at n=33A185632
- Last occurrence of n partitions in A204814.at n=37A205301
- Primes that are the sum of three consecutive primes in A034962.at n=33A207527
- Primes of the form (p! + q!)/ p! where p= prime(k) and q= prime(k+1), in order of increasing k.at n=3A235392
- Consider N = numerator( 1/p! + 1/q! ) where p = prime(n), q = prime(n+1) for n = 1,2,3,.... Append N to sequence if it is a prime.at n=11A235714
- Partial sums of A169707.at n=38A253098
- Primes of form x^2 - phi(x) in increasing order.at n=13A258435
- Primes in A258774.at n=38A258776