479001599
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Largest prime factor of n! - 1.at n=10A002582
- Largest prime <= n!.at n=10A006990
- If n is even, 2(n/2 + 1)! - 1; if n is odd, ((n + 1)/2 + 1)! - 1.at n=20A030494
- a(n) = n! - 1.at n=12A033312
- Nearest prime to n! (but not equal to n!).at n=11A053708
- Smallest prime factor of n!-1 (for n>2), a(2)=1.at n=10A054415
- Largest number x such that sum of divisors of x is n!.at n=9A055489
- Factorial primes: primes of the form n! - 1.at n=4A055490
- a(n) = (n-1)!-n^tau(n)/n^2.at n=11A069152
- Smallest prime of the form k*n! - 1.at n=11A084730
- Factorial primes: primes which are within 1 of a factorial number.at n=8A088054
- Primes in the progression (n!- m)/m where n advances by 1 and m resets to 1 upon each prime occurrence.at n=9A089137
- Largest prime of the form n!/k!-1.at n=9A093622
- a(n) = (2n)! - 1.at n=5A127230
- Smallest father factorial prime p of order n = smallest prime of the form (p!-n)/n where p is prime.at n=12A139207
- Prime numbers that are factorial differences p! -q! where p+1 and q+1 are both prime numbers.at n=2A181745
- a(n) = (-1)^n*(n! - (-1)^n).at n=11A235378
- Number of permutations of [n] avoiding adjacent step pattern {up}^11.at n=12A254523
- Number of aperiodic permutation necklaces of weight n.at n=12A306669
- Prime numbersat n=25306287