32377
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- a(n) = least primitive factor of 2^(2n+1) - 1.at n=28A002184
- To obtain a(n), take the n-th palindrome P = A002113(n) and concatenate it with the smallest palindrome Q such that PQ is a prime.at n=40A110786
- Numbers k such that k, k+1, k+2 and k+3 are 1,2,3,4-almost primes.at n=30A113000
- Numbers k such that (j^k + k^j) == 0 (mod k+j), j=2 case.at n=8A114977
- Emirps with only prime digits (i.e., 2, 3, 5, 7).at n=15A128388
- Lesser of emirps (pairs) with only prime digits (A128388).at n=9A133554
- Emirps with a prime number of only prime digits.at n=7A137833
- Lesser of emirps (pairs) with a prime number of only prime digits.at n=5A137834
- Odd numbers k with the property that (2^k + k^2) == 0 (mod (k+2)).at n=1A156038
- Odd prime numbers p with the property that (2^p + p^2) == 0 (mod (p+2)).at n=0A156048
- Primes whose digits are primes and reverse is prime.at n=24A160748
- Eigensequence of triangle A168313.at n=13A168314
- Smallest prime factor of 2^n - 1 having the form k*n + 1.at n=55A186522
- Primes of the form 7n^2 + 9.at n=11A201609
- a(n) = floor(volume of 4-sphere of radius n).at n=9A210519
- Primes which become palindromic primes when the digits are rotated once to the right.at n=20A235000
- Numerators of lower primes-only best approximates (POBAs) to sqrt(8); see Comments.at n=12A265790
- Numerators of primes-only best approximates (POBAs) to sqrt(8); see Comments.at n=12A265794
- Primes p = x^2 + y^2, not of the form z^2 + 1, such that 2^(x^2) == 2^(y^2) == 1 (mod p).at n=7A299103
- Numbers n such that the arithmetic derivative of A276086(n) is prime.at n=46A328233