36313

Properties

Appears in sequences

• s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (odd natural numbers), t = A001950 (upper Wythoff sequence).at n=42A024600
• Primes p from A031924 such that A052180(p) = 23.at n=25A052238
• Prime numbers that are 2 less than a prime-indexed odd triangular number or 1 more than a prime-indexed even triangular number.at n=33A096333
• Numbers p such that p = (prime(n)+ prime(n+2))/2 is prime for prime indices n=2, 3, 5...at n=31A098038
• Square-chain primes (including square-loop primes).at n=41A108659
• Numbers such that the digital sums in bases 3, 4, 5 and 6 all are equal.at n=31A135126
• Numbers such that the digital sums in bases 3, 4, 5, 6 and 7 all are equal.at n=17A135129
• Numbers k such that k and k^2 use only the digits 1, 3, 6, 8 and 9.at n=18A137041
• 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, 1), (-1, 0, 0), (0, 1, 0), (1, -1, -1), (1, 1, 1)}.at n=8A150516
• Primes that start a run of at least seven consecutive primes, where between successive primes exactly one digit changes and the resulting digits may be permuted.at n=30A157717
• Primes of the form 14*k^2 + 26*k + 13.at n=18A176617
• Primes of the form 8*k^2 + 6*k - 1 for positive k.at n=35A187677
• a(n) = a(n-1) + a(n-2) + a(n-3), with a(0) = 1, a(1) = a(2) = 6.at n=16A214828
• Prime terms in A214828.at n=3A242576
• Primes p such that p - d and p + d are also primes, where d is the largest digit of p.at n=24A245877
• Numbers n such that n!!! - 3^10 is prime, where n!3 = n!!! is a triple factorial number (A007661).at n=35A265201
• Smallest k such that both of the consecutive Woodall numbers A003261(k) and A003261(k+1) are divisible by A014662(n), the n-th prime p with even order of 2 mod p.at n=37A287145
• Primes where every other digit is 3 starting with the rightmost digit, and no other digit is 3.at n=42A348559
• Primes of the form T(p) - 2 where T(p) is the triangular number (A000217) with prime index p in A357218.at n=17A357219
• a(n) is the first prime p such that the concatenations of n consecutive primes, starting with p, in both forward and backward directions, are prime.at n=31A384958