27947
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes p from A031924 such that A052180(primepi(p)) = 19.at n=20A052235
- Number of nonnegative integer 6 X 6 matrices with sum of elements equal to n, under row and column permutations.at n=10A052372
- Let p = prime(sigma(n)) and q = prime(phi(n)), then p is in the sequence if p-q = 6.at n=33A103176
- Primes p such that the polynomial x^5-x^4-x^3-x^2-x-1 mod p has 5 distinct zeros.at n=19A106281
- Primes that do not divide any term of the Lucas 5-step sequence A074048.at n=9A106301
- Larger prime in pair prime(k) +/- k for some k.at n=33A107637
- Prime numbers p for which quintonacci quintic polynomial x^5-x^4-x^3-x^2-x-1 modulus p is completely factorizable.at n=20A135846
- Prime numbers p not of the form 10k+1 for which the quintonacci quintic polynomial x^5 - x^4 - x^3 - x^2 - x - 1 modulus p is factorizable into five binomials.at n=15A135847
- Primes p2 such that p1^2 + p2^3 is an average of twin primes and p1 < p2 are consecutive primes.at n=27A138716
- Numerator of A166100(A166101(n))/A166102(n).at n=37A166272
- Least prime p == -1 (mod n) that divides Fibonacci((p+1)/n), or 0 if no such prime exists.at n=50A168172
- Primes p such that q = p^2 + p + 1 is an emirp.at n=37A178545
- Prime intersections in a square spiral with positive integers: primes p such that there are four primes among eight nearest neighbors of p.at n=9A215470
- Total number of parts in all partitions of n plus the sum of largest parts in all partitions of n plus the number of partitions of n plus n.at n=24A225610
- Least prime p such that pi(p*n)^2 + 1 = prime(q*n) for some prime q.at n=33A260219
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 107", based on the 5-celled von Neumann neighborhood.at n=34A270166
- Prime generating polynomial: a(n) = (4*n - 29)^2 + 58.at n=48A320772
- Balanced primes of order 100.at n=0A363168
- Integers in Ulam's spiral for which the numbers around them form a square whose four corners are all prime numbers.at n=18A383596
- Prime numbersat n=3050