39971
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- a(n) = floor(binomial(n,8)/8).at n=22A011854
- E.g.f.: exp(x)/sqrt(1-4*x).at n=5A052143
- Primes p such that p's set of distinct digits is {1,3,7,9}.at n=32A108386
- Prime septets of form k, k+2100, k+4200, k+6300, k+8400, k+10500, k+12600.at n=30A123107
- Number of partitions of n into exactly 7 different parts with distinct multiplicities.at n=22A212118
- Primes such that prime plus its digit sum is a perfect square.at n=17A230087
- Primes p with P(p-1) also prime, where P(.) is the partition function (A000041).at n=23A234569
- Sixth prime p such that (p+n)^2+n is prime but (p+j)^2+j is not prime for all 0<j<n.at n=33A238678
- Numbers n such that A = n + digitsum(n) is divisible by the highest power of 10 <= A.at n=31A242799
- Primes of the form 2*n^2+26*n+11.at n=35A243888
- Primes of the form abs(n^5 - 99n^4 + 3588n^3 - 56822n^2 + 348272n - 286397) in order of increasing nonnegative n.at n=28A272444
- Primes p such that exactly four numbers among all circular permutations of the digits of p are prime.at n=37A344628
- Numbers that are the sum of seven fourth powers in eight or more ways.at n=32A345574
- Numbers that are the sum of seven fourth powers in exactly eight ways.at n=22A345830
- Prime numbersat n=4200