23549
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Least prime in A031926 (lesser of 8-twins) whose distance to the next 8-twin is 6*n.at n=32A052353
- Primes p whose period of reciprocal equals (p-1)/7.at n=20A056212
- Total sum of squares of parts in all partitions of n.at n=16A066183
- a(n) = Sum_{d|n} phi(d^3).at n=28A068963
- Primes p such that the period of the decimal expansion of 1/p is a square.at n=30A072858
- Primes of the form n^2*totient(n)+1 (or A053191(n) + 1).at n=11A076669
- Primes of the form x^2 + (x+3)^2.at n=25A076727
- Primes of the form p^k - p^(k-1) + 1 for some prime p and integer k > 1.at n=18A087126
- a(n) = n^3 - n^2 + 1.at n=29A100104
- Primes p for which the period length of 1/p is a perfect power, A001597.at n=38A128948
- Primes p such that all the digits needed to write the consecutive Primes from 2 to p fill exactly a square (no holes, no overlaps).at n=29A158024
- a(n) = 841*n + 1.at n=27A158404
- a(n) = 28*n^2 + 1.at n=29A158556
- Primes of the form k^3-k^2+1, k>0.at n=11A162292
- Primes remaining primes under map 3<=>5 (interchange of decimal digits 3 and 5).at n=35A198047
- Primes of the form 7n^2 + 1.at n=14A201602
- Primes that remain prime when a single digit 3 is inserted between any two consecutive digits or as the leading or trailing digit.at n=25A215419
- Primes p with p-1, p+1, prime(p)-1 and prime(p)+1 all practical.at n=8A257924
- Primes p such that p+2^3, p+2^5 and p+2^7 are all primes.at n=34A275475
- a(n) = n*2^10 - 3.at n=22A362361