26183
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Third term of balanced prime quartets: p(m-1)-p(m-2) = p(m)-p(m-1) = p(m+1)-p(m).at n=16A054802
- Numbers n such that (19^n + 1)/20 is a prime.at n=6A057185
- Numbers k such that 57^k - 56^k is prime.at n=5A062623
- Let p(k) denote k-th prime; consider solutions (p(n),p(m)) of Diophantine equation p(p(n)+1)-6.p(p(m))=1 (*), where p(p(n)) belongs to A060213 and p(p(m))=(p(p(n))+1)/6; sequence gives values of p(n).at n=4A065505
- Primes of the form n followed by the least k == 1 (mod n).at n=25A090920
- Balanced primes (A090403) of index 4.at n=4A096708
- Primes p whose period of reciprocal equals (p-1)/13.at n=6A098680
- Primes p such that googol - p is prime.at n=15A108252
- Largest prime factor of 2*n^3 - 2*n + 9.at n=33A127990
- Prime numbers p such that p - 1 is the fourth a-figurate number and nineteenth b-figurate number for some a and b.at n=26A144327
- Powers of sqrt(5) - 1 rounded down.at n=47A179241
- Smallest positive integer k (or 0 if no such k) with a primitive cycle of positive integers, exactly n of which are odd, under iteration by the Collatz-like 3x-k function.at n=37A226677
- a(n) = floor(4^n/((1+sqrt(5))/2)^(2*n)).at n=24A240523
- Centered 19-gonal (or nonadecagonal) primes.at n=8A264844
- Primes p such that A276173(p) = p.at n=37A276174
- Sum of the odd parts in the partitions of n into 10 parts.at n=35A309661
- Expansion of Product_{i>=1, j>=1} (1 + x^(i*j*(j + 1)/2)).at n=45A327745
- Primes p such that p+6, p-6, 2*p+3 and 2*p-3 are prime.at n=28A356079
- Prime numbersat n=2878