38447
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Expansion of (1+x^2)/(1 - 2*x - 2*x^2 + x^3).at n=11A014742
- a(n) = Sum_{k=0..floor(n/2)} A026637(n-k, k).at n=22A026647
- Primes with multiplicative persistence value 6.at n=9A046506
- Numbers n such that (6^n + 1)/7 is a prime.at n=12A057172
- Primes p such that p, p+2, p+6, p+12 and p+14 are consecutive primes.at n=9A078946
- Let P(x) = (x^2+1)^2+1; then a(n) is the lesser term of a twin prime pair such that P(a(n)) is also the lesser term of another twin prime pair.at n=4A093189
- Primes p such that p + 2, 18*p^2 + 1, and 18*(p+2)^2 + 1 are all primes.at n=16A115272
- Smallest odd prime base q such that p^3 divides q^(p-1) - 1, where p = prime(n).at n=17A125637
- Primes that can be expressed as the sum of a Fibonacci number and the square of a Fibonacci number.at n=25A178991
- Primes of the form 10 * k^2 + 7.at n=31A195905
- Prime numbers p such that x^2 + x + p produces primes for x = 0..3 but not x = 4.at n=25A210362
- Number of partitions of n such that neither the number of parts having multiplicity >1 nor the number of distinct parts is a part.at n=50A241412
- For a lesser p of twin primes, let B_(p+2) and B_p be sequences defined as A159559, but with initial terms p+2 and p respectively. The sequence lists p for which all differences B_(p+2)(n)-B_p(n)<=6.at n=23A276848
- Number of points that are the intersections of exactly two semicircles in the configuration A290447(n).at n=34A292103
- Number of total dominating sets in the n-pan graph.at n=20A302506
- Primes abs(A337145(k))/8 for k in A337146.at n=3A337147
- Convolution of A000041 and A000290.at n=19A360486
- a(n) = a(n-1) + a(n-3) + a(n-4), where a(0) = 1, a(1) = 2, a(2) = 5, a(3) = 7.at n=21A362388
- Lesser of twin primes p such that p and p+2 are both in A115591.at n=35A367318
- Prime numbersat n=4054