27793

Properties

Appears in sequences

• Initial term in sequence of four consecutive primes whose consecutive differences have d-pattern = [6, 4, 6]; short d-string notation for pattern = [646].at n=33A078856
• Lesser prime in pair prime(k) +/- k for some k.at n=41A107636
• Primes whose digit reversal is a pentagonal number (A000326).at n=13A115706
• Primes of the form p = prime(k+1) such that prime(k) = (prime(k+3)+prime(k-1))/2.at n=28A126239
• Primes which are the sum of three distinct positive cubes in two or more distinct ways.at n=23A180088
• Primes of the form 3n^3+10.at n=3A201118
• Primes of the form 7n^2 + 10.at n=14A201610
• a(1)=1; for n >1 a(n) is the smallest prime divisor of the number obtained from concatenation of 1 and the first n-1 composites.at n=12A241845
• a(n) = (2^p+1)^(p-1) modulo p^2, where p is prime(n).at n=43A260531
• Twin primes both of which are the sum of three positive cubes.at n=21A272376
• Expansion of 1/(1 - x*Product_{k>=1} (1 + x^k)^k).at n=12A299167
• Primes in A301916 but not in A045318.at n=28A320481
• Number of integer partitions of n whose Heinz number (product of primes of parts) is divisible by their sum of primes of parts.at n=49A330953
• Prime numbersat n=3034