21713

Properties

Appears in sequences

• From a nim-like game.at n=36A003412
• P(p(n)), P = primes (A000040), p = partition numbers (A000041).at n=26A058697
• Primes p2 such that p1^2 + p2^3 is an average of twin primes and p1 < p2 are consecutive primes.at n=21A138716
• Primes congruent to 58 mod 61.at n=36A142856
• a(n) = smallest prime > a(n-1) such that a(n)+a(n-1) is multiple of k, a(1)=2, k=101.at n=33A178468
• Number of strings of numbers x(i=1..n) in 0..7 with sum i*x(i) equal to n*7.at n=7A184701
• Number of strings of numbers x(i=1..8) in 0..n with sum i*x(i) equal to n*8.at n=6A184708
• Prime numbers whose central digit equals the sum of the other digits.at n=18A235119
• Number of partitions p of n such that #m(1) = #m(2), where #m(i) = number of numbers in p that have multiplicity i.at n=49A241518
• Prime time primes (of the form HMMSS with primes H < 24 and MM, SS < 60) such that the corresponding number of seconds after midnight is also prime.at n=10A295000
• Numbers of the form HMMSS with primes H < 24 and MM, SS < 60, for which the number of seconds after midnight, 3600*H+60*MM+SS, is also prime.at n=34A295011
• Prime time primes on 6-digit clocks, second definition: primes of the form HMMSS where H, MM, SS are primes, H < 24, MM and SS < 60.at n=35A295013
• Numbers k such that (115*10^k - 7)/9 is prime.at n=16A295083
• Primes whose index is divisible by the product of its digits.at n=30A306766
• Primes p such that 2*p+1 and 4*p^2+1 are also prime.at n=30A333803
• E.g.f.: Product_{k>=1} (1 - (exp(x) - 1)^k).at n=7A336100
• Number of self-avoiding cycles of length 2n on the half-Manhattan lattice.at n=12A336742
• a(n) is the smallest prime p which is greater than the exponent of the n-th Mersenne prime.at n=24A342692
• Primes whose product of nonzero digits divided by the sum of its digits is also prime.at n=40A371631
• Prime numbersat n=2436