97777

Properties

Appears in sequences

• Primes that contain digits 7 and 9 only.at n=13A020471
• If k is a number with exactly two distinct decimal digits, say a and b, neither of which is 0 (i.e., a member of A101594), define the self-complement of k, SC(k), to be the number obtained by replacing a with b and vice versa. E.g. SC(232233) = 323322. Sequence contains primes p such that SC(p) is also a prime.at n=28A083983
• Number of "sets of odd lists", cf. A000262.at n=8A088009
• Primes of the form identical digits preceded by a 9.at n=3A090157
• Primes arising as the successive difference in A090910.at n=43A090913
• Primes of the form 9*10^k + 7*R_k, where R_k is the repunit (A002275) of length k.at n=2A093944
• Near-repdigit primes with 7 as repeated digit.at n=30A105977
• Transmutable primes: Primes with distinct digits d_i, i=1,m (2<=m<=4) such that simultaneously exchanging all occurrences of any one pair (d_i,d_j), i<>j results in a prime.at n=35A108388
• Primes with at least one digit appearing exactly four times in the decimal expansion.at n=35A161786
• Largest n-digit prime with the most digits equal to 7.at n=4A178005
• Primes p such that (p^2 + 5)/6, (p^4 + 5)/6 and (p^6 + 5)/6 are prime.at n=3A253939
• Primes that contain only the digits (0, 7, 9).at n=33A261181
• Largest n-digit prime having at least n-1 digits equal to 7.at n=4A268706
• Centered 21-gonal primes.at n=20A276261
• Square array A(n,k), n >= 0, k >= 1, read by antidiagonals, where column k is the expansion of e.g.f. Product_{j > 0, j mod k > 0} exp(x^j).at n=53A293525
• Square array A(n,k), n >= 0, k >= 1, read by antidiagonals, where column k is the expansion of e.g.f. 1/Product_{j > 0, j mod k > 0} exp(x^j).at n=53A293530
• E.g.f.: exp(x/(x^2 - 1)).at n=8A293532
• Median of the primes p with 2^(n-1) < p < 2^n.at n=14A309359
• Primes ending in 777.at n=21A381004
• Prime numbersat n=9397