57751

Properties

Appears in sequences

• Primes that are palindromic in base 6.at n=39A029974
• Primes base 10 that remain primes in six bases b, 2<=b<=10, expansions interpreted as decimal numbers.at n=13A052028
• 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=18A054813
• Primes p such that the largest prime factor of p^5 + 1 is less than p.at n=16A102327
• Primes of the form 10n^2 - 9.at n=26A201964
• Primes formed by concatenating palindromes having even number of digits with 1.at n=19A210534
• Primes p such that p^4 - p +/- 1 are twin primes.at n=27A236952
• Record values of A018799 (Smallest nonnegative integer m such that m! begins with n in base 10).at n=36A279089
• Numbers whose septenary, octal and nonary representations are prime when read in decimal.at n=36A281252
• E.g.f. satisfies A(x) = exp(x + x^3/2 * A(x)^3).at n=7A362479
• Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * Sum_{j=0..floor(n/3)} (k/6)^j * (3*j+1)^(n-2*j-1) / (j! * (n-3*j)!).at n=62A362490
• Prime numbersat n=5851