34259
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- n is prime and is the concatenation of numbers n_1, n_2, n_3, in that order, with n_1 - n_2 = n_3. (Do not allow leading zeros for nonzero n_i.)at n=30A067861
- a(n) is the n-th prime whose decimal expansion begins with the decimal expansion of n.at n=33A077345
- 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=[2, 6,6]; short d-string notation of pattern = [266].at n=13A078849
- Class 7- primes.at n=17A081426
- Largest of six consecutive primes the sum of the digits of each of which is prime.at n=25A106720
- Largest of seven consecutive primes whose sum of digits is prime.at n=10A106721
- Primes p such that both pi(p) and the concatenation of pi(p) and p are prime, where pi is the prime counting function.at n=45A155032
- Number of Fermat pseudoprimes to base 3 less than 2^n.at n=35A185084
- Primes p with same last two digits as k, where prime(k) = p.at n=36A232102
- Primes p = prime(n): such that p.n and n.p both are prime, where (.) indicates concatenation.at n=39A243886
- Lesser of twin prime pairs of the form (40n - 21, 40n - 19).at n=43A250025
- Number of integer partitions of n whose negated run-lengths are unimodal.at n=44A332638
- Prime numbersat n=3659