19507

Properties

Appears in sequences

• Primes that remain prime through 3 iterations of function f(x) = 8x + 5.at n=19A023293
• T(n, 2*n-3), T given by A027960.at n=46A027965
• Numbers whose base-4 representation contains exactly four 0's and three 3's.at n=26A045084
• Discriminants of imaginary quadratic fields with class number 19 (negated).at n=35A046016
• Prime numbers occurring at integer Pythagorean distance (radius) from 1 in Ulam square prime-spiral. Primes on axes are excluded.at n=28A078765
• Primes p such that 6p + 1 and (p-1)/6 are primes.at n=31A085957
• Primes p such that q-p = 24, where q is the next prime after p.at n=33A098974
• Primes p = prime(i) of level (1,3), i.e., such that A118534(i) = prime(i-3).at n=33A118467
• Primes q such that p = (r+q+s-1)/2 is a balanced prime, where r, q, s are consecutive primes.at n=9A129190
• Primes congruent to 48 mod 61.at n=36A142846
• Primes p such that continued fraction of (1 + sqrt(p))/2 has period 6: primes in A146331.at n=23A146351
• Primes of the form 9n^2-8n+2.at n=8A154253
• Primes of the form m*(m+1)/2 + 4.at n=33A159048
• Sum of binomial(n,k) over squarefree k.at n=14A245268
• Primes prime(k) such that (prime(k)*prime(k+1)+1)/2 is prime.at n=30A266163
• Compound filter: a(n) = P(A001511(n), A161942(n)), where P(n,k) is sequence A000027 used as a pairing function.at n=71A286260
• Partial sums of A299281.at n=23A299282
• Numbers that are the sum of eight fourth powers in eight or more ways.at n=31A345583
• Numbers that are the sum of eight fourth powers in nine or more ways.at n=11A345584
• Numbers that are the sum of eight fourth powers in ten or more ways.at n=3A345585