18523
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes p such that 1 + product of primes up to p is prime.at n=15A005234
- a(n) = 2*n^3 + 1.at n=21A033562
- Primes which are the concatenation of numbers n_1, n_2, n_3, in that order, with n_1 + n_2 = n_3 (leading zeros are forbidden for nonzero n_i).at n=30A067860
- Primes p such that p-1 divides 2^p-2.at n=19A069051
- Primes in which the digit string can be partitioned into three parts such that the sum of the first two is equal to the third, and the second part is nonzero.at n=29A088291
- Larger prime in pair prime(k) +/- k for some k.at n=27A107637
- Primes p for which the period length of 1/p is a perfect power, A001597.at n=33A128948
- Primes p for which Sum_{1 <= n < p} (n!|p) == 0 (mod p), where (n!|p) is the Legendre symbol.at n=32A131652
- Prime numbers p such that p +- ((p-1)/7) are primes.at n=13A137770
- Primes p2 such that p1^3 + p2^2 is an average of twin primes and p1 < p2 are consecutive primes.at n=14A138755
- Greater of twin primes p2 such that p1^3+p2^2=pp is the average of twin primes. p1 and p2 twin primes, p1 < p2.at n=3A139779
- Primes congruent to 26 mod 53.at n=37A142556
- Primes congruent to 40 mod 61.at n=37A142838
- a(n) = 42*n^2 + 1.at n=21A158604
- List of pairs of twin primes of the form 2k^3 +- 1.at n=3A160518
- Primes that can be written as a sum of a positive square and a positive cube in more than one way.at n=35A162930
- Primes of the form x^3 + y^3 + 1.at n=45A188620
- Primes of the form 3^k - 2^k + k^2 - k^3.at n=2A195813
- Primes of the form 2k^3+1.at n=8A201107
- Primes of the form x^3 + 2*y^3, with nonnegative x and y.at n=30A219559