100019

Properties

Appears in sequences

• Define an increasing sequence as follows. Start with an initial term, the seed (which need not have the property of the sequence); subsequent terms are obtained by inserting/placing at least one digit in the previous term to obtain the smallest number with the given property. This is the prime sequence with the seed a(1) = 9.at n=5A068174
• Triangle read by rows in which row n gives n smallest n-digit primes.at n=16A073914
• Least n-digit prime whose digit permutations yield at least n distinct primes, or 0 if no such prime exists.at n=5A113598
• Numbers k such that (7^k - 5^k)/2 is prime.at n=9A128344
• Array read by rows: row n lists the first two primes with n digits.at n=11A139052
• Array read by rows: row n lists the first 3 primes with n digits.at n=16A139053
• Array read by rows: row n lists the first 4 primes with n digits.at n=21A139054
• The larger member of a prime pair (p,p+100000).at n=1A165297
• Integers whose decimal representation consists of three distinct digits, one appearing once, one appearing twice, and one appearing three times.at n=7A182040
• Primes in A182040.at n=0A182092
• a(n) = smallest prime >= 10^n with primitive root 10.at n=5A205989
• Primes less than 1000000 sorted lexicographically in decimal representation.at n=1A210761
• Primes which become palindromic primes when the digits are rotated once to the left.at n=30A234912
• Least n-digit prime whose digit sum is also prime.at n=5A249447
• Primes p such that if q and r are the next two primes, 6*q-r, 6*q-p, 6*q+p and 6*q+r are all prime.at n=28A351636
• Successive primes building the lexicographically earliest k X k 'Futility Squares' (see the Comment and Example sections for more explanations).at n=16A368051
• Primes containing 000 as a substring.at n=9A386247
• Prime numbersat n=9594