A106115 Primes with minimal digit > 2.

3, 5, 7, 37, 43, 47, 53, 59, 67, 73, 79, 83, 89, 97, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 433, 439, 443, 449, 457, 463, 467, 479, 487, 499, 547, 557, 563, 569, 577, 587, 593, 599, 643, 647, 653, 659, 673, 677, 683, 733, 739, 743, 757, 769, 773

Offset: 1

Author

Zak Seidov, May 07 2005

Keywords

• nonn
• base

Links

• James Maynard, Primes with restricted digits, arXiv:1604.01041 [math.NT], 2016.
• James Maynard and Brady Haran, Primes without a 7, Numberphile video (2019)

Programs

Mathematica

Select[Prime[Range[200]], Min[IntegerDigits[ # ]]>2&]

PARI

is(p)=vecsort(digits(p),,8)[1]>2 && isprime(p) \\ Charles R Greathouse IV, Jan 02 2013

Formula

a(n) >> n^k with k = log 10/log 7 = 1.183.... - Charles R Greathouse IV, Jan 02 2013