72577

Properties

Appears in sequences

• a(n) is smallest prime such that a(n)-1 is a proper multiple of a(n-1)-1, with a(0) = 2.at n=10A057999
• Leading diagonal of triangle in A072467.at n=31A072468
• Primes in the progression (n! + m)/m where n advances by 1 and m resets to 1 upon each prime occurrence.at n=8A089136
• Greater prime factor of semiprimes in A089539.at n=8A089541
• Greatest prime arising as the product of numbers chosen from among the first n numbers + 1.at n=8A092965
• 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=8A092969
• Emirps with only prime digits (i.e., 2, 3, 5, 7).at n=26A128388
• Lesser of emirps (pairs) with only prime digits (A128388).at n=16A133554
• Primes p such that q-p = 36, where q is the next prime after p.at n=31A134117
• Emirps with a prime number of only prime digits.at n=18A137833
• Lesser of emirps (pairs) with a prime number of only prime digits.at n=12A137834
• Primes of the form (5+k!)/5.at n=1A139059
• a(n) = (n!+5)/5.at n=4A139152
• a(n)= primes arising A144722.at n=5A144723
• a(n) = 56*n^2 + 1.at n=36A158660
• Least prime of three consecutive primes (p1,p2,p3) such that p2-p1 and p3-p2 are both perfect squares.at n=16A161002
• Primes of the form 2*n^2+6*n+1.at n=32A176549
• Primes that can be written as a sum of a positive square and a positive cube in more than two ways.at n=11A206606
• Primes that contain only the digits (2, 5, 7).at n=31A214705
• a(n) = 1+2*(d1 + 1)*(d2 + 1)*...*(dk + 1), where d1, d2, ..., dk are the prime factors of the n-th Fermat pseudoprime to base 2 A001567(n).at n=36A216646