The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A375936

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A375936

Prime numbers p such that there exists a base b < 10 in which p is written as a number that is divisible by p when read as a decimal number.
(history; published version)

#37 by N. J. A. Sloane at Thu Sep 26 23:57:28 EDT 2024

STATUS

editing

approved

#36 by N. J. A. Sloane at Thu Sep 26 23:57:25 EDT 2024

NAME

Prime numbers p such that there exists a base b < 10, in which p is written as a number that is divisible by p when read as a decimal number.

COMMENTS

No other term is less than terms below 10^11.

STATUS

proposed

editing

#35 by Michel Marcus at Wed Sep 04 04:42:17 EDT 2024

STATUS

editing

proposed

#34 by Michel Marcus at Wed Sep 04 04:42:06 EDT 2024

PROG

(PARI) isok(k) = if (isprime(k), for (b=2, 9, if (!(fromdigits(digits(k, b)) % k), return(b)))); \\ Michel Marcus, Sep 04 2024

STATUS

proposed

editing

#33 by Jean-Marc Rebert at Wed Sep 04 04:26:52 EDT 2024

STATUS

editing

proposed

#32 by Jean-Marc Rebert at Wed Sep 04 04:26:27 EDT 2024

LINKS

Jean-Marc Rebert, <a href="/A375936/a375936.txt">a375936</a>

#31 by Jean-Marc Rebert at Wed Sep 04 04:24:50 EDT 2024

LINKS

Jean-Marc Rebert, <a href="/A375936/a375936_1.txt">a375936</a>

STATUS

proposed

editing

#30 by Jean-Marc Rebert at Wed Sep 04 00:18:03 EDT 2024

STATUS

editing

proposed

#29 by Jean-Marc Rebert at Wed Sep 04 00:17:52 EDT 2024

EXAMPLE

In each example the base is < 10. See a375936.txt in section Links for more examples.

STATUS

proposed

editing

#28 by Amiram Eldar at Tue Sep 03 23:46:33 EDT 2024

STATUS

editing

proposed