19699

Properties

Appears in sequences

• Numbers whose base-4 representation contains exactly three 0's and four 3's.at n=27A045080
• Discriminants of imaginary quadratic fields with class number 25 (negated).at n=32A056987
• Primes p such that x^67 = 2 has no solution mod p.at n=33A059330
• Smallest odd prime not occurring in the numerator of any of the 2^n subset sums generated from the set 1/1, 1/2, 1/3, ..., 1/n.at n=20A075227
• Primes of the form a^4 + b^3 with b>0.at n=37A100271
• Primes with digit sum = 34.at n=2A106769
• a(n) equals the (n*(n+1)/2)-th partial sum of the self-convolution cube of A010054, which has the g.f.: Sum_{k>=0} x^(k*(k+1)/2).at n=33A109414
• Primes congruent to 36 mod 53.at n=38A142566
• Primes congruent to 57 mod 61.at n=37A142855
• Partial sums of A151791.at n=34A151792
• Prime p1 of consecutive primes p1, p2, where p2-p1=10, and p1, p2 are in different centuries.at n=21A160500
• Primes of the form (p^2 - 1)/8 - p, where p is also a prime.at n=18A165567
• Primes p such that 10p+1 divides 2^p-1.at n=41A188133
• Irregular triangle T(n,k) where row n contains the maximal nodes in the graph of XOR connected primes of interval [2^n+1,2^(n+1)-1], n>=4.at n=22A200321
• Number of empty faces in Freij's family of Hansen polytopes.at n=9A205646
• Primes of the form x^3 + 2*y^3, with nonnegative x and y.at n=31A219559
• Smallest prime that can be expressed as the sum of n distinct positive squares with the largest square as small as possible.at n=36A224498
• Primes of the form 3^k + 16.at n=6A243437
• Greater of twin primes of (40n-23,40n-21).at n=25A244505
• Primes whose number of symmetric connections to other primes within the same power of two interval exceeds the number of symmetric connections to composites.at n=22A247607