This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A038616 #54 Jul 23 2025 18:24:03 %S A038616 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,97,101, %T A038616 103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,191,193, %U A038616 197,199,211,223,227,229,233,239,241,251,257,263,269,271,277,293,307 %N A038616 Primes not containing the digit '8'. %C A038616 Subsequence of primes of A052421. - _Michel Marcus_, Feb 22 2015 %C A038616 Maynard proves that this sequence is infinite and in particular contains the expected number of elements up to x, on the order of x^(log 9/log 10)/log x. - _Charles R Greathouse IV_, Apr 08 2016 %H A038616 Indranil Ghosh, <a href="/A038616/b038616.txt">Table of n, a(n) for n = 1..50000</a> %H A038616 M. F. Hasler, <a href="/wiki/Numbers_avoiding_certain_digits">Numbers avoiding certain digits</a>, OEIS Wiki, Jan 12 2020. %H A038616 James Maynard, <a href="http://arxiv.org/abs/1604.01041">Primes with restricted digits</a>, arXiv:1604.01041 [math.NT], 2016. %H A038616 James Maynard and Brady Haran, <a href="https://www.youtube.com/watch?v=eeoBCS7IEqs">Primes without a 7</a>, Numberphile video (2019). %H A038616 <a href="/index/Pri#PrimesWithDigits">Index to entries for primes with digits in a given set</a> %F A038616 a(n) ~ n^(log 10/log 9) * log(n). - _Charles R Greathouse IV_, Aug 03 2023 %t A038616 Select[Prime[Range[70]], DigitCount[#, 10, 8] == 0 &] (* _Harvey P. Dale_, Jan 24 2011 *) %o A038616 (Magma) [ p: p in PrimesUpTo(400) | not 8 in Intseq(p) ]; // _Bruno Berselli_, Aug 08 2011 %o A038616 (PARI) lista(nn)=forprime(p=2, nn, if (!vecsearch(vecsort(digits(p),,8), 8), print1(p, ", "));); \\ _Michel Marcus_, Feb 22 2015 %o A038616 (PARI) next_A038616(n)=until((n=nextprime(n+1))==(n=next_A052421(n-1)), ); n \\ _M. F. Hasler_, Jan 14 2020 %Y A038616 Intersection of A000040 (primes) and A052421 (numbers with no 8). %Y A038616 Primes having no digit d = 0..9 are A038618, A038603, A038604, A038611, A038612, A038613, A038614, A038615, this sequence, and A038617, respectively. %K A038616 nonn,easy,base %O A038616 1,1 %A A038616 Vasiliy Danilov (danilovv(AT)usa.net), Jul 15 1998 %E A038616 Offset corrected by _Arkadiusz Wesolowski_, Aug 07 2011