20249
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes of the form 36*n^2 - 810*n + 2753, n >= 0, sorted.at n=22A022464
- Primes of the form 36*k^2 - 810*k + 2753, listed in order of increasing parameter k >= 0.at n=22A050268
- Numbers k such that k^14 == 1 (mod 15^3).at n=23A056087
- Primes p for which the period of reciprocal = (p-1)/8.at n=31A056213
- Luhn primes: primes p such that p + (p reversed) is also a prime.at n=34A061783
- Column 4 of triangle A091602.at n=44A091607
- a(n) = 36*n^2 - 810*n + 2753, producing the conjectured record number of 45 primes in a contiguous range of n for quadratic polynomials, i.e., abs(a(n)) is prime for 0 <= n < 44.at n=36A117081
- Numbers k such that the sum of the digits of k^2 is 10. Multiples of 10 are omitted.at n=17A135027
- Primes congruent to 58 mod 61.at n=33A142856
- Primes of the form 10*k^2 - 1.at n=8A143828
- Primes p such that p-1 and p+1 each contain at least one cubed prime in their prime factorization.at n=29A162870
- Primes p such that the concatenation of p and 29 is a square number: "p 29" = N = m^2.at n=24A168545
- Primes p such that the concatenation p//29 is a squared prime.at n=8A168568
- a(n) = (4*n^3-3*n^2+5*n-3)/3.at n=24A177342
- Primes of the form 6*n^3-1.at n=4A200814
- Primes p where the digital sum of p^2 is equal to 10.at n=5A226802
- a(n) is the minimal odd evil k, such that k^i, i=1,2,...,n, all are evil, and a(n)=0, if there is no such k.at n=12A230495
- Number of length 3 1..(n+2) arrays with no leading partial sum equal to a prime and no consecutive values equal.at n=35A255718
- Number of length n 1..(7+1) arrays with every leading partial sum divisible by 2 or 3.at n=5A257061
- Number of length 6 1..(n+1) arrays with every leading partial sum divisible by 2 or 3.at n=6A257068