17987

Properties

Appears in sequences

• Define the generalized Pisot sequence T(a(0),a(1)) by: a(n+2) is the greatest integer such that a(n+2)/a(n+1) < a(n+1)/a(n). This is T(3,5).at n=28A018917
• Prime(prime(n)) when prime(prime(n)) and n are twin primes.at n=17A087394
• Primes with digit sum = 32.at n=8A106768
• Primes p such that p + 2 and p^2 + 2^2 are primes.at n=31A107312
• Primes congruent to 20 mod 53.at n=38A142550
• Primes congruent to 51 mod 59.at n=31A142778
• Primes congruent to 53 mod 61.at n=34A142851
• Primes p such that both pi(p) and the concatenation of pi(p) and p are prime, where pi is the prime counting function.at n=31A155032
• a(n) = 529*n + 1.at n=33A158368
• a(n) = (1/2)*(n^3 - 6*n^2 + 13*n - 6).at n=34A158498
• a(n) = 34*n^2 + 1.at n=23A158586
• Primes p such that p1 = ceiling(p/2) + p is prime and p2 = floor(p1/2) + p1 is prime.at n=39A158714
• Number of binary strings of length n with equal numbers of 00000 and 10001 substrings.at n=15A164188
• a(n)= sum_{i=7..n+6} A000931(i).at n=29A167385
• Primes p such that (p reversed)-10 is a square.at n=25A167475
• Primes p of the form 4*k+3 such that p+2 is prime and p-1 is nonsquarefree.at n=18A175606
• Primes p such that p^2 + 4 and p^2 + 10 are also primes.at n=34A237890
• Primes p such that p1 = ceiling(p/2) + p is prime and p2 = floor(p1/2) + p is prime.at n=36A242366
• Initial members of prime quadruples (n, n+2, n+144, n+146).at n=14A248523
• Initial members of prime quadruples (n, n+2, n+54, n+56).at n=20A248661