98641
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numerator of Sum_{k=0..n} 1/k!.at n=9A061354
- Expansion of (1+x)/((1-x)^2-5x^3).at n=14A097118
- a(n)! is the smallest factorial divisible by the numerator of Sum_{k=0...n} 1/k!, with a(0) = 1.at n=9A102468
- Largest prime factor of numerator of Sum_{k=0...n} 1/k!, with a(0) = 1.at n=9A102469
- Largest prime with n distinct nonprime digits.at n=3A158716
- Primes of the form 2*n^3 + 4*n^2 + 4*n + 1.at n=16A195117
- Pairs p, q for those partial sums p/q of the series e = sum_{n>=0} 1/n! that are not convergents to e.at n=14A233044
- a(n) is the smallest start of a run of exactly n consecutive primes such that the sum of the digits of each prime is composite.at n=20A241525
- Primes p for which exactly five bases b with 1 < b < p exist such that p is a base b Wieferich prime.at n=29A255208
- Primes containing nonprime digits (from 1 to 9) in their decimal expansion and whose digits are distinct, i.e., consisting of only digits 1, 4, 6, 8, 9.at n=35A323391
- Number of compositions (ordered partitions) of n into distinct parts such that the average of the parts is an integer.at n=34A339175
- Prime numbersat n=9471