57601

Properties

Appears in sequences

• Primes p == 1 (mod 4) where class number of Q(sqrt p) increases.at n=11A002142
• Primes that remain prime through 4 iterations of function f(x) = 2x + 9.at n=26A023306
• Primes that remain prime through 4 iterations of the function f(x) = 9x + 8.at n=18A023326
• Primes that remain prime through 5 iterations of function f(x) = 2x + 9.at n=7A023334
• Primes of the form p*q+2 where p and q are consecutive primes.at n=9A048880
• Primes of form pq + 2 where p and q are twin primes.at n=4A051779
• Smallest prime that begins with the n-th square in decimal notation.at n=23A065145
• Primes p such that (p-1) and the period length of 1/p are both squares.at n=23A076516
• Primes of the form n^2*totient(n)+1 (or A053191(n) + 1).at n=19A076669
• Smallest prime p that is a palindrome in n different bases < p.at n=10A087911
• Primes of form (prime(n)^2 + prime(n+1)^2)/2.at n=10A093343
• Primes of the form 512n+257.at n=21A105131
• Integers n such that n is prime and x is prime, where (x,y) is the smallest solution to the Pell equation with D = n.at n=35A109748
• Primes of the form 2^a * 3^b * 5^c + 1 for positive a, b, c.at n=41A114991
• a(1)=2, a(2)=3, a(3)=5; a(n) = largest prime < a(n-1)+a(n-2)+a(n-3).at n=18A126092
• Primes associated with A127435.at n=15A127436
• Prime averages of two successive perfect prime powers.at n=9A131697
• Primes p such that q-p = 36, where q is the next prime after p.at n=21A134117
• Primes of the form prime(x)*prime(x+1) + (prime(x+1)-prime(x)).at n=10A140121
• Primes of the form 9*n^2 + 1.at n=14A156226