19597

Properties

Appears in sequences

• Primes that divide at least one term of Sylvester's sequence s = A000058: s(n+1) = s(n)^2 - s(n) + 1, s(0) = 2.at n=31A007996
• Primes of form k^2 - 3.at n=25A028874
• Primes p from A031924 such that A052180(primepi(p)) = 17.at n=23A052234
• Expansion of (1+3*x)/(1-4*x+x^2).at n=7A054485
• Numbers k such that 53^k - 52^k is a prime.at n=7A062619
• Primes with digit sum = 31.at n=28A106767
• Mother primes of order 11.at n=27A136070
• Triangle T(n,k) = 4*binomial(n,k)^2 - 3, read by rows, 0<=k<=n.at n=40A141596
• Primes congruent to 9 mod 59.at n=39A142736
• Primes congruent to 16 mod 61.at n=34A142814
• Starting at a(1)=2, a(n) is the smallest prime larger than a(n-1) such that the sum of odd digits of a(n) is not smaller than the sum of odd digits of a(n-1).at n=36A158085
• Smaller member p of a pair (p,p+6) of consecutive primes in different centuries.at n=15A160370
• Primes p such that 5*p+2, 7*p+4 and 11*p+6 are also prime.at n=22A173880
• Primes p such that 2*p^3-+15 are also prime.at n=25A174364
• Primes of the form 2n^2 - 5.at n=18A201713
• Primes p such that (p+nextprime(p))/2 is a perfect square.at n=21A225195
• The number of NE partitions of n (see Comments).at n=36A239329
• Lesser of consecutive primes whose average is a perfect power.at n=23A242380
• Partial sums of A169707.at n=36A253098
• Let N(p,i) denote the result of applying "nextprime" i times to p; a(n) = smallest prime p such that N(p,4) - p = 2*n, or -1 if no such prime exists.at n=41A339944