97001

Properties

Appears in sequences

• Primes which can be expressed as sum of distinct powers of 5.at n=20A077719
• Reverse digits of largest primes, append to sequence if result is larger prime then previous one with reverse digits.at n=24A098922
• Reverse digits of largest Chen primes, append to sequence if result is larger Chen prime then previous one with reverse digits.at n=19A118496
• Numbers k such that k and k^2 use only the digits 0, 1, 4, 7 and 9.at n=41A136865
• Primes of the form 1000*k + 1.at n=22A156655
• Primes p such that p^2 + 6, p^2 + 12 and p^2 + 18 are all prime.at n=19A173627
• Numbers k such that the base-2 expansion of k ends with the base-5 expansion of k.at n=9A175514
• Primes whose base-5 representation also is the base-2 representation of a prime.at n=15A235462
• Consider a number of k digits n = d_(k)*10^(k-1) + d_(k-1)*10^(k-2) + … + d_(2)*10 + d_(1). Sequence lists the numbers n such that sigma(n) - n = Sum_{i=1..k-1}{sigma(Sum_{j=1..i}{d_(j)*10^(j-1)}) - Sum_{j=1..i}{d_(j)*10^(j-1)}} (see example below).at n=44A240894
• Consider a number of k digits n = d_(k)*10^(k-1) + d_(k-1)*10^(k-2) + ... + d_(2)*10 + d_(1). Sequence lists the numbers n such that n' = Sum_{i=1..k-1}{Sum_{j=1..i}{d_(j)*10^(j-1)}}', where n' is the arithmetic derivative of n (see example below).at n=45A244078
• Primes p with p-1, p+1, prime(p)-1 and prime(p)+1 all practical.at n=13A257924
• Primes p such that the digits of p^2 are squares.at n=13A308917
• Primes p such that p^2 contains all of the square digits {0, 1, 4, 9} only.at n=6A316969
• Prime-indexed primes q such that prime(q)-q-1 is a prime indexed prime.at n=27A318751
• Prime numbersat n=9337