31891

Properties

Appears in sequences

• Group the natural numbers so that the n-th group contains n numbers whose sum as well as the group product +1 is prime. Sequence contains the primes arising as the sum of the terms of groups.at n=39A092946
• Primes p such that primorial(p)/2 - 2 is prime.at n=28A096547
• Output of the linear congruential pseudo-random number generator rand() used in Microsoft's Visual C++.at n=22A096558
• 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, -1, 1), (-1, 1, 0), (1, 0, -1), (1, 0, 0)}.at n=12A148023
• Primes of the form 7*p^2+7*p-1 (with p=prime).at n=7A171138
• Number of (n+2) X 4 0..2 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..2 introduced in row major order.at n=7A204364
• T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..2 introduced in row major order.at n=37A204370
• T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..2 introduced in row major order.at n=43A204370
• Number of magic labelings of the prism graph I X C_5 with magic sum n.at n=11A244497
• Primes p such that both 2p-1 and 2p^2-2p+1 are prime.at n=40A274609
• a(n) = smallest prime q such that Sum_{primes p <= q} 1/sqrt(p) >= n.at n=44A292775
• Primes that are the first in a run of exactly 4 emirps.at n=13A346024
• a(n) = (1/2)*A357283(n).at n=16A357284
• First of three consecutive primes p,q,r such that r*(p+q) + p*q and r*(p+q) - p*q are prime.at n=46A358382
• Lexicographically smallest sequence of distinct primes whose inverse binomial transform consists only of primes.at n=12A384674
• Prime numbersat n=3426