102023

Properties

Appears in sequences

• Define an increasing sequence as follows. Given the first term, called the seed (which need not share the property of the remaining terms), subsequent terms are obtained by inserting at least one digit in the previous term so as to obtain the smallest number with the specified property. This is the prime sequence with the seed a(1) = 2.at n=5A068167
• Primes p such that sum of squares of even-position digits equals the sum of squares of odd-position digits of p.at n=31A076168
• Indices of primes in A001644 (the Lucas 3-step numbers).at n=37A104576
• Primes p such that both p^5 - 6 and p^5 + 6 are prime.at n=30A157256
• Smallest of four consecutive primes whose sum is a triangular number.at n=25A226154
• a(n+1) is the smallest prime > a(n) such that the digits of a(n) are all (with multiplicity) contained in the digits of a(n+1), with a(1)=2.at n=15A242904
• Number of h- and H-steps at level 0 in all lattice paths in B(n).at n=14A247300
• a(1) = 1; for n > 1, a(n) is the smallest unused prime number that can be created by either removing or adding a single digit anywhere in the value of a(n-1).at n=18A389824
• Prime numbersat n=9770