19231

Properties

Appears in sequences

• Numbers p from A001125 such that 2*p-3 is prime.at n=27A063939
• Primes congruent to 16 mod 61.at n=33A142814
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (0, 0, 1), (0, 1, 0), (1, 0, 1), (1, 1, -1)}.at n=7A151130
• Primes p such that p*floor(p/2) - 4 and p*floor(p/2) + 4 are prime numbers.at n=26A164622
• Number of partitions of prime(n) into prime parts smaller than itself.at n=23A168470
• a(1)=1. a(n+1) = Sum_{k=1..n} a(b(k,n)), where b(k,n) is the largest positive integer that, when written in binary, occurs as a substring in both binary k and binary n.at n=44A175491
• Smallest number k such that the continued fraction expansion of sqrt(k) contains n distinct numbers.at n=28A187142
• Number of nondecreasing arrangements of 4 numbers in -(n+2)..(n+2) with sum zero and not more than two numbers equal.at n=40A188237
• Numbers k such that the periodic part of the continued fraction of sqrt(k) has more ones than any smaller k.at n=34A206579
• Primes of the form 2*n^2 + 90*n + 43.at n=7A217621
• Number of 2 X n arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 2 X n array.at n=20A219803
• Sum_{i=0..n} Sum_{j=0..n} (i AND j), where AND is the binary logical AND operator.at n=46A224924
• The left Aurifeuillian factor of k^k + 1 for k congruent to 0, 2 or 3 (mod 4) and squarefree.at n=7A230377
• Number of positive solutions to x^2+y^2+z^2 <= n^2.at n=34A253663
• Numbers k such that (19*10^k + 467)/9 is prime.at n=20A281275
• a(n) is the least integer k > 2 such that the remainder of -k modulo p is strictly increasing over the first n primes.at n=9A306612
• Numbers k such that 369*2^k+1 is prime.at n=17A323009
• Value of prime number D for incrementally largest values of minimal x satisfying the equation x^2 - D*y^2 = 2.at n=35A336786
• Values of prime numbers, D, for incrementally largest values of minimal y satisfying the equation x^2 - D*y^2 = 2.at n=32A336788
• Primes p such that p and p+6 are consecutive primes, and p+36 and p+42 are consecutive primes.at n=41A350863