604801

Properties

Appears in sequences

• Smallest prime that is the product of n consecutive integers + 1, or 0 if no such number exists.at n=6A083521
• Smallest prime obtained as a product of n terms of an arithmetic progression + the common difference.at n=6A088120
• Primes in the progression (n! + m)/m where n advances by 1 and m resets to 1 upon each prime occurrence.at n=9A089136
• Smallest prime of the form n*(n+1)*(n+2)...(n+k) + 1, k > 0, i.e., a(n) > n+1, or 0 if no such prime exists.at n=3A089305
• Greatest prime arising as the product of numbers chosen from among the first n numbers + 1.at n=9A092965
• a(1) = 2; for n>1, a(n) = largest prime of the form n!/k + 1, where k < n, or 0 if no such prime exists.at n=9A092969
• a(n) = largest prime of the form n!/k! + 1.at n=10A093437
• Elite primes: a prime number p is called elite if only a finite number of Fermat numbers 2^(2^n)+1 are quadratic residues mod p.at n=11A102742
• Primes of the form A001228(n) + 1 and A001228(n) - 1 where A001228 = orders of sporadic simple groups.at n=1A121236
• Primes of the form (6+k!)/6.at n=2A139062
• a(n) = (n!+6)/6.at n=7A139153
• Numerator of Hermite(n, 1/30).at n=4A160291
• Number of (not necessarily maximal) cliques in the n-transposition graph.at n=7A308606
• a(n) = 1 + ((1+(-1)^(n-1))*(n-1)!)/(n+1).at n=10A384253
• Primes of the form k!*m! + 1, with k <= m.at n=11A392757
• Prime numbersat n=49463