19697
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Expansion of 1/((1-x^2)*(1-x^4)^2*(1-x^6)*(1-x^8)*(1-x^10)) (even powers only).at n=48A001994
- Numbers k such that (14^k - 1)/13 is prime.at n=6A006032
- Primes that remain prime through 3 iterations of function f(x) = 6x + 7.at n=14A023289
- Primes which are the concatenation of numbers n_1, n_2, n_3, in that order, with n_1 + n_2 = n_3 (leading zeros are forbidden for nonzero n_i).at n=32A067860
- Primes in which the digit string can be partitioned into three parts such that the sum of the first two is equal to the third, and the second part is nonzero.at n=31A088291
- A nonsense sequence (not well-defined).at n=24A089174
- Lower bound twin primes such that their digital reverse is prime and a lower bound twin prime.at n=36A101783
- Primes of the form 3^k + 14.at n=5A102874
- Primes with digit sum = 32.at n=12A106768
- Primes p such that p + 2 and p^2 + 2^2 are primes.at n=33A107312
- Consider primes p and q such that p = 3^k + 14 and q = 3^(k+1) + 14 for some k; sequence gives values of p.at n=3A108260
- Primes of the form a^2 + b^2 + c^2 such that a^4 + b^4 + c^4 is prime as well and larger than the first one.at n=35A126118
- Concatenated list of the positive divisors of the terms of sequence A129645.at n=62A129646
- Primes congruent to 50 mod 59.at n=35A142777
- Primes congruent to 55 mod 61.at n=38A142853
- Primes p such that p^2 - 2 is a 5-almost prime.at n=31A156620
- Number of 2n-digit primes that are concatenation of n two-digit distinct primes p_1...p_n: 10<p_1<p_2<...<p_n>98.at n=8A168519
- a(n) is the cardinality of the "Cross Set" which is the subset of distinct resistances that can be produced by a circuit of n unit resistors using only series or parallel combinations which cannot be decomposed as a single unit resistor in either series or parallel with a circuit of n-1 unit resistors.at n=13A176497
- 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=30A178468
- Lesser of twin primes (A001359) such that both are full reptend primes (A001913).at n=46A243096