32831

Properties

Appears in sequences

• Sum of product of divisors of n and sum of divisors of n.at n=31A076720
• Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[2,6,4]; short d-string notation of pattern = [264].at n=33A078848
• Primes which remain prime after one and after two applications of the rotate-and-add operation of A086002.at n=27A086003
• a(n) = (1/n!)*A001565(n).at n=31A094792
• Lesser of twin balanced primes (A090403).at n=16A096694
• Bitwise XOR of adjacent terms of A101120; also the nonzero terms of A101122.at n=12A101121
• a(0) = 2; a(n) = least prime p such that p >= a(n-1) + 2^n.at n=14A134694
• Primes for which the period of the reciprocal equals (p-1)/14.at n=25A135073
• Binary transpose primes. Integers of k^2 bits which, when written row by row as a square matrix and then read column by column, are primes once transformed.at n=30A155967
• a(1) = 3. For n > 1, Ulam's spiral is started with a(n-1), and the primes p on the NE spoke are considered. a(n) is the minimal p that is the lesser of a twin prime pair.at n=39A163586
• Primes p of the form 4*k+3 such that p+2 is prime and p-1 is nonsquarefree.at n=29A175606
• a(n) = 6*a(n-1)-8*a(n-2)-3 for n > 2; a(0) = 89, a(1) = 519, a(2) = 2063.at n=4A176634
• Primes of the form 2^x + 2^y - 1.at n=39A188713
• Primes p such that p+2, p+8, and p+12 are all prime.at n=41A233540
• Primes of the form m = 2^i + 2^j - 1, where i > j >= 0.at n=34A239712
• Primes of the form m = 8^i + 8^j - 1, where i > j >= 0.at n=2A239718
• Primes of the form sigma(k) + product of divisors of k.at n=9A260108
• Primes of a056240-type 3.at n=21A300359
• Expansion of Product_{i>=2, j>=2} 1 / (1 - x^(i*j))^j.at n=34A326830
• Primes whose reversal + 1 is a cube.at n=4A362677