27527

Properties

Appears in sequences

• Primes with every digit a prime and the sum of the digits a prime.at n=42A062088
• a(n) is the smallest k such that (k^3 + 1)/(n^3 + 1) is an integer > 1.at n=41A065964
• Primes with only prime digits and whose initial, all intermediate and final iterated sums of digits are primes.at n=12A070029
• Twin primes whose digits are primes.at n=11A087367
• Numbers k such that 216*k+108 is a term of A097703 and A007494 and A098240.at n=27A098241
• Primes with a prime number of digits, all of them prime, that add up to a prime.at n=17A110028
• Let p be an element of A110028. Let L(p) be the sorted list of digits of p and let LL be the set of all L(p) with duplicates removed and ordered lexicographically. Then a(n) is the first element of A110028 such that L(a(n))=LL(n).at n=11A117608
• Numbers m such that A132575(m) = m.at n=19A132579
• Numbers k such that k and k^2 use only the digits 2, 3, 5, 7 and 9.at n=17A137084
• Primes of the form XYX, where Y is a single digit.at n=35A154270
• Primes of the form (4k^2 + 4k - 5)/5.at n=22A154619
• Primes p such that 4*p and 6*p are each the sum of two consecutive primes.at n=41A164133
• Lesser member p of a twin prime pair (p, p + 2) such that 2p + 3(p + 2) is a perfect square.at n=6A174370
• Primes that contain only the digits (2, 5, 7).at n=23A214705
• Primes of the form abcabc..abcab.at n=20A228627
• Primes p such that p+2, p+24 and p+246 are also primes.at n=25A235871
• Initial members of prime quadruples (n, n+2, n+54, n+56).at n=27A248661
• Non-palindromic balanced primes in base 16.at n=34A256090
• Number of integers m in [0..10^n-1] such that m has no digit in common with the last n digits of either m^2 or m^3.at n=12A256714
• Expansion of 1/(1 - x*(1 + theta_3(x))/2), where theta_3() is the Jacobi theta function.at n=20A302018