33629

Properties

Appears in sequences

• a(0) = a(1) = 0; for n >= 2, a(n)*2^(n+2) + 1 is the smallest prime factor of the n-th Fermat number F(n) = 2^(2^n) + 1.at n=19A007117
• Base-9 palindromes that start with 5.at n=30A043032
• Primes occurring in A084704 exactly 4 times.at n=17A128655
• Least Ramanujan prime having a gap of 2n to the next Ramanujan prime.at n=36A182874
• Primes of the form 5n^2 + 9.at n=13A201487
• Lesser of consecutive primes whose average is a palindromic number.at n=46A242387
• Primes p such that q = p^2 + 10 and q^2 + 10 are also prime.at n=39A243368
• Primes p such that p plus the cube of sum of digits of p is a perfect square.at n=17A259418
• Let b(n) = 2^n with n >= 2, and let c = k*b(n) + 1 for k >= 1; then a(n) is the smallest k such that c is prime and such that A007814(r(n)) = A007814(k) + n where r(n) is the remainder of 2^(b(n)/4) mod c, or 0 if no such k exists.at n=19A298669
• Primes whose position in the Wythoff array is immediately followed by a prime both in the next column and the next row.at n=20A352537
• Consecutive states of the linear congruential pseudo-random number generator (9806*s+1) mod (2^17-1) when started at s=1.at n=8A384236
• Prime numbersat n=3604