53777

Properties

Appears in sequences

• Primes with only prime digits and whose initial, all intermediate and final iterated sums of digits are primes.at n=20A070029
• a(n) = sqrt(A076967(n)).at n=30A076968
• Larger of a pair of consecutive primes having only prime digits.at n=27A082756
• Prime-indexed primes (PIPs) whose digits are all primes.at n=19A087368
• 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=17A117608
• Primes containing 777 as a substring.at n=14A167282
• G.f. A(x) satisfies A(x) = 1/(1 - x*A(2*x)^8).at n=4A171198
• Number of Dyck paths of semilength n such that all positive levels have the same number of peaks.at n=16A287987
• a(n) is the constant term in expansion of Product_{k=1..n} (x^(k^3) + 1 + 1/x^(k^3)).at n=19A369345
• Primes ending in 777.at n=11A381004
• Prime numbersat n=5479