38317

Properties

Appears in sequences

• Number of partitions of n into parts not of the form 13k, 13k+6 or 13k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 5 are greater than 1.at n=46A035954
• n is prime and is the concatenation of numbers n_1, n_2, n_3, in that order, with n_1 - n_2 = n_3. (Do not allow leading zeros for nonzero n_i.)at n=36A067861
• Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[4, 6, 2]; short d-string notation of pattern = [462].at n=37A078851
• Primes p such that the differences between the 5 consecutive primes starting with p are (4,6,2,4).at n=4A078954
• Odd primes of the form (1+n)*(2+2*n)+n*(3+2*n) = 4*n^2+7*n+2.at n=26A171749
• Primes of the form 3n^2 + 10.at n=17A201480
• Primes p of the form penta(n)-3, where penta(n) is the n-th pentagonal number.at n=37A232537
• Primes p such that p+12, p+1234 and p+123456 are also prime.at n=13A236304
• a(n) = prime(k-1) with k = n^2 + prime(n)^2.at n=17A243893
• First of three consecutive primes p,q,r such that r^2-p^2+p, r^2-p^2+q and r^2-p^2+r are consecutive primes.at n=36A347531
• Primes p such that p + 4, p + 12 and p + 16 are also primes.at n=21A384298
• Prime numbersat n=4044