;Definitions: As used here, all unprimeable numbers   (positive integers)   are always expressed in base ten. ───── Definition from OEIS ─────:
Unprimeable numbers are composite numbers that always remain composite when a single decimal digit of the number is changed. ───── Definition from Wiktionary   (referenced from Adam Spencer's book) ─────:
(''arithmetic'')   that cannot be turned into a prime number by changing just one of its digits to any other digit.   (sic) '''Unprimeable''' numbers are also spelled:   '''unprimable'''. All one─ and two─digit numbers can be turned into primes by changing a single decimal digit. ;Examples: '''190'''   isn't unprimeable,   because by changing the zero digit into a three yields   '''193''',   which is a prime. The number   '''200'''   is unprimeable,   since none of the numbers   '''201, 202, 203, ··· 209'''   are prime, and all the other numbers obtained by changing a single digit to produce   '''100, 300, 400, ··· 900''',   or   '''210, 220, 230, ··· 290'''   which are all even. It is valid to change   '''189'''   into   '''089'''   by changing the   '''1'''   (one)   into a   '''0'''   (zero),   which then the leading zero can be removed,   and then treated as if the   "new"   number is   '''89'''. ;Task: ::*   show the first   '''35'''   unprimeable numbers   (horizontally, on one line, preferably with a title) ::*   show the   '''600th'''   unprimeable number ::*   (optional) show the lowest unprimeable number ending in a specific decimal digit   ('''0, 1, 2, 3, 4, 5, 6, 7, 8, 9''') ::*   (optional) use commas in the numbers where appropriate Show all output here, on this page. ;Also see: :*   the     OEIS     entry:   [https://oeis.org/A118118 A118118 (unprimeable)] :*   with some useful counts to compare [http://www.numbersaplenty.com/set/unprimeable_number/ unprimeable number] :*   the Wiktionary entry (reference from below):   [https://en.wiktionary.org/wiki/unprimeable (arithmetic definition) unprimeable] :*   from the Adam Spencer book   (page 200):   ''Adam Spencer's World of Numbers''       (Xoum Publishing)