25189
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 47.at n=31A020386
- Primes that remain prime through 3 iterations of function f(x) = 7x + 6.at n=28A023290
- Numbers k that divide the (left) concatenation of all numbers <= k written in base 24 (most significant digit on left).at n=14A029493
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 21.at n=9A031609
- n-th occurrence of gap of n between primes occurs at prime a(n), n even, n >= 2.at n=14A054587
- First term of strong prime sextets: p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2) > p(m+4)-p(m+3) > p(m+5)-p(m+4).at n=6A054813
- Primes p such that the sum of the digits of p is not prime, but the sum of each digit raised to the 4th power is prime.at n=19A091368
- Equal count of primes congruent to 1 mod 4 and 3 mod 4 associated with primes in A007351 (the zero beginning the sequence indicates the prime 2).at n=14A092198
- Negative of column k=5 sequence of array A103728.at n=5A103732
- Primes from merging of 5 successive digits in decimal expansion of Zeta(2) or (Pi^2)/6.at n=3A105378
- Primes p such that q-p = 30, where q is the next prime after p.at n=29A124596
- a(n) = prime(n*prime(n)).at n=26A228529
- Primes p congruent to 1 mod 12 such that (p + 1)/2 does not divide the numerator of the Bernoulli number B(p + 1).at n=28A232039
- Primes p such that A001175(p) = (p-1)/6.at n=30A308791
- Primes p such that A001177(p) = (p-1)/6.at n=35A308799
- Primes p such that p=prime(k), prime(k+1), and prime(k+2) end in the same digit.at n=23A328452
- Record values in A343717.at n=25A343718
- Simultaneously fill a square spiral and an infinite square array by antidiagonals with distinct nonnegative integers so that the sum of numbers in any 2 X 2 square equals a square.at n=17A353588
- Prime numbersat n=2781