31051

Properties

Appears in sequences

• Doubly balanced primes: primes which are averages of both their immediate and their second neighbors.at n=4A051795
• Primes p such that p-12, p and p+12 are consecutive primes.at n=30A053072
• Pseudo-random numbers: a (very weak) pseudo-random number generator from the second edition of the C book.at n=4A061364
• First n-digit prime in the concatenation of odd integers allowing leading zeros.at n=5A073176
• Largest prime factor of 5^n - 1.at n=26A074479
• Duplicate of A051795.at n=4A081416
• Evaluate n^4 - 93n^3 + 3196n^2 - 48008n + 265483 for n >= 0, record the primes.at n=9A095974
• Primes of the form (prime(prime(k)) + prime(prime(k+1)))/2.at n=24A098042
• Coefficients in a certain Poincaré series [or Poincare series].at n=29A098705
• Primes of the form i*prime(i) + (i+1)*prime(i+1).at n=23A119487
• List of primes generated by factoring successive integers in Sylvester's sequence (A000058).at n=10A126263
• Cyclops emirps.at n=33A183057
• Primes which are the average of the two adjacent primes and also of the two adjacent squarefree numbers.at n=25A245589
• P(n,k) is an array read by rows, with n > 0 and k=1..5, where row n gives the chain of 5 consecutive primes {p(i), p(i+1), p(i+2), p(i+3), p(i+4)} having the symmetrical property p(i) + p(i+4) = p(i+1) + p(i+3) = 2*p(i+2) for some index i.at n=22A267028
• Balanced primes of order one ending in 1.at n=24A303092
• Primes p such that (q*s-p*r)/2 and |p*s-q*r|/2 are both prime, where p,q,r,s are consecutive primes.at n=36A341802
• Emirps p such that (p*q) mod (p+q) is also an emirp, where q is the digit reversal of p.at n=34A355651
• Largest prime factor of A000058(n) = A007018(n) + 1 (Sylvester's sequence).at n=6A367020
• Sylvester primes. Yet another proof of the infinity of primes.at n=16A375543
• a(n) = Sum_{k=0..floor(n/2)} (-1)^k * (3*k+1) * binomial(3*n-3*k+1,n-2*k)/(3*n-3*k+1).at n=8A389697