69997

Properties

Appears in sequences

• Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[4,2,6]; short d-string notation of pattern = [426].at n=27A078850
• a(n) = (2*5^n-(4^n-2^n))/2.at n=7A083315
• Primes with digit sum = 40.at n=2A106773
• Primes such that the outer 2 digits are n and n+1 and all inner digits are 9, where 0 < n < 9.at n=3A108828
• Primes containing 999 as a substring.at n=19A167292
• Primes of the form 7n^2 - 3.at n=13A201849
• Primes p such that p - d and p + d are also primes, where d is the smallest nonzero digit of p.at n=5A245878
• Numbers k such that 7*R_(k+2) - 2*10^k is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=20A257031
• Primes having only {6, 7, 9} as digits.at n=35A261184
• Primes with integer arithmetic mean of digits = 8 in base 10.at n=9A285228
• Square array read by antidiagonals upwards: M(n,k) is the initial occurrence of first prime p1 of consecutive primes p1, p2, where p2 - p1 = 2*k, and p1, p2 span a multiple of 10^n, n>=1, k>=1.at n=11A287050
• Number of faces in the n-polygon diagonal intersection graph.at n=34A301748
• Primes p such that 11*p is the concatenation of an emirp and its reverse.at n=13A345905
• Numerator of the sum of the reciprocals of all square divisors of all positive integers <= n.at n=35A384817
• Prime numbersat n=6935