34949
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Pisot sequence E(10,18), a(n)=[ a(n-1)^2/a(n-2)+1/2 ].at n=14A014006
- Numbers k such that the continued fraction for sqrt(k) has period 97.at n=24A020436
- Number of positive integers <= 2^n of form 7 x^2 + 10 y^2.at n=19A054189
- Antidiagonal sums of table A084287, in which the k-th row is the product of the k-th prime with the antidiagonals of the first k rows of the table.at n=15A084288
- Primes p such that googol - p is prime.at n=24A108252
- Integers k such that 2^(k-1) == 1 (mod k) and 2^(m-1) == 1 (mod m), where m = k*(A000265(k-1) - 1) + 1 and A000265 gives the odd part of its argument.at n=23A187849
- Primes of the form k^2 - prime(k).at n=23A188831
- Number of Ramanujan primes R_k such that 2^(n-1) < R_k <= 2^n.at n=21A190501
- Primes having only {3, 4, 9} as digits.at n=31A199349
- Primes q = 4*p+1, where p == 2 (mod 5) is also prime.at n=55A221981
- Primes formed by an m-digit prime concatenated with its last (m-1) digits, for m > 1.at n=17A252667
- Solution of the complementary equation a(n) = a(n-1) + a(n-2) + 2*b(n-1) - b(n-2) - 1, where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4.at n=18A294425
- Prime numbersat n=3729