42397
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Least k such that the first k terms of A006928 contain n more 2's than 1's.at n=20A025507
- Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[6, 4,2]; short d-string notation of pattern = [642].at n=36A078855
- Middle of 3 consecutive prime numbers such that p1*p2*p3 + d1 + d2 - 1 = average of twin prime pairs, d1 (delta) = p2 - p1, d2 (delta) = p3 - p2.at n=14A153404
- Smaller member p of a pair (p,p+6) of consecutive primes in different centuries.at n=32A160370
- Primes p such that p^2 - 8, p^2 - 6 and p^2 - 2 are prime.at n=17A176960
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 355", based on the 5-celled von Neumann neighborhood.at n=40A271399
- Indices in A006928 where the imbalance between 1's and 2's sets a new record.at n=33A274775
- Number of pairs (lambda,mu) of partitions lambda of n and mu of 10 with mu <= lambda (by diagram containment).at n=14A303860
- Sum of the third largest parts in the partitions of n into 8 parts.at n=45A308996
- Primes p such that (p^256 + 1)/2 is prime.at n=29A341234
- Prime numbersat n=4432