19471
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Expansion of 1/(1-x^5-x^6-x^7-x^8-x^9-x^10).at n=47A017841
- Primes p such that p, p+6, p+12, p+18 are all primes.at n=34A023271
- Primes that remain prime through 3 iterations of function f(x) = 6x + 1.at n=16A023287
- Initial prime in set of 4 consecutive primes with common difference 6.at n=14A033451
- Numbers whose base-4 representation contains exactly four 0's and three 3's.at n=25A045084
- Prime number spiral (clockwise, Northwest spoke).at n=23A053999
- a(n) is the smallest start of a run of exactly n+1 consecutive primes with n (not necessarily equal) prime differences, each divisible by 6.at n=5A054203
- First of n consecutive primes which differ by a multiple of 6.at n=6A054679
- First term of balanced prime quartets: p(m+1)-p(m) = p(m+2)-p(m+1) = p(m+3)-p(m+2).at n=14A054800
- First prime starting a chain of exactly n consecutive primes congruent to 1 modulo 6.at n=6A055625
- Initial prime in first sequence of n consecutive primes congruent to 1 modulo 6.at n=6A057620
- Primes p such that x^59 = 2 has no solution mod p.at n=35A059312
- Primes p such that p, p+6, p+12, p+18 are consecutive primes and p = 6*k+1 for some k.at n=6A090837
- Prime(p^2) where p = prime(n).at n=14A096327
- Primes congruent to 12 mod 61.at n=39A142810
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/10.at n=31A152310
- A156977/3.at n=31A164565
- Primes p such that (p+18), (p+36) and (p+72) are also prime.at n=23A175158
- First of a run of 4 or more consecutive primes which all equal 1 (mod 3).at n=42A185942
- Number of nonempty subsets of {1, 2, ..., n} with <=6 pairwise coprime elements.at n=29A187267