26107
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Discriminants of imaginary quadratic fields with class number 17 (negated).at n=39A046014
- Fourth term of strong prime sextets: p(m-2)-p(m-3) > p(m-1)-p(m-2) > p(m)-p(m-1) > p(m+1)-p(m) > p(m+2)-p(m+1).at n=7A054816
- a(n) is the n-th prime whose decimal expansion begins with the decimal expansion of n.at n=25A077345
- 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=[4,2,6]; short d-string notation of pattern = [426].at n=14A078850
- Expansion of (1 - x)/(1 - 2*x + 3*x^2) in powers of x.at n=19A087455
- Lesser member p of cousin primes (p, p+4) such that (p+1, p+2, p+3) all have the same number of prime divisors (counted with multiplicity).at n=21A094230
- a(1)=1. a(n) = a(n-1) + sum of the triangular numbers which are among the first (n-1) terms of the sequence.at n=42A100963
- Primes p such that 2*p^3 -+ 3 are also prime.at n=24A174363
- Primes of the form 8*n^2 + 2*n + 1.at n=25A188382
- Near-Wieferich primes (primes p satisfying 2^((p-1)/2) == +-1 + A*p (mod p^2)) with |A| < 10.at n=31A246568
- Smallest of 4 consecutive prime numbers that when represented as a simple continued fraction, generates prime numbers in the numerator and denominator, when reduced.at n=20A270884
- a(1) = 2; a(n + 1) = smallest prime > a(n) such that a(n + 1) - a(n) is the product of 8 primes.at n=25A285693
- Primes that can be generated by the concatenation in base 3, in descending order, of two consecutive integers read in base 10.at n=30A287301
- Prime numbers in A317298.at n=26A306362
- Primes which, when added to their reversals, produce palindromic primes.at n=40A342681
- Primes p such that the prime triple (p, p+2 or p+4, p+6) generates a prime number when the digits are concatenated.at n=24A375313
- Prime numbersat n=2869