36457

Properties

Appears in sequences

• Maximal number of regions obtained by joining n points around a circle by straight lines. Also number of regions in 4-space formed by n-1 hyperplanes.at n=31A000127
• Conjecturally, number of infinitely-recurring prime patterns on n consecutive integers.at n=39A023192
• Primes whose digits can be arranged in increasing cyclic order - to form a substring of 123456789012345678901234567890...at n=45A068710
• Prime Friedman numbers.at n=25A112419
• Numbers k such that k, k+1, k+2 and k+3 are 1,2,3,4-almost primes.at n=32A113000
• Primes of the form p = prime(k+1) such that prime(k) = (prime(k+3)+prime(k-1))/2.at n=35A126239
• Primes formed by rearranging five consecutive decimal digits (avoiding leading 0).at n=11A156119
• Primes p of the form |prime(n+2)^2-prime(n+1)^2-prime(n)^2|, (absolute values).at n=19A176134
• Primes whose digits can be arranged as consecutive digits (more precisely, to form a substring of 0123456789).at n=32A177119
• Primes of the form 2n^2 + 7.at n=15A201475
• Primes whose base-7 representation also is the base-3 representation of a prime.at n=34A235470
• Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 5 6 or 8 and every 3X3 column and antidiagonal sum not equal to 0 3 5 6 or 8.at n=8A252608
• Smallest prime of the form Sum_{i=0..k} binomial(n,i), or a(n)=0 if there is no such a prime.at n=30A258126
• a(n) = Sum_{k=0..n} (-1)^k*P(n,k)*k!, where P(n,k) is the number of partitions of n into k parts.at n=8A260845
• Square array read by ascending antidiagonals: number of m-shape Euler numbers.at n=44A260877
• Primes that can be generated by the concatenation in base 6, in ascending order, of two consecutive integers read in base 10.at n=20A287306
• Terms k of A112998 such that k+2 is nonsquarefree.at n=25A328160
• Prime numbersat n=3864