University of Cambridge > Talks.cam > Discrete Analysis Seminar > Primes with pre-assigned digits

Primes with pre-assigned digits

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  • UserGlyn Harman (Royal Holloway)
  • ClockTuesday 06 March 2007, 16:30-17:30
  • HouseMR4, CMS.

If you have a question about this talk, please contact Ben Green.

Say you wanted to find primes with your telephone number embedded in the digits in some order. Is it possible? If you are writing numbers to base 10 the final digit must be 1, 3, 7 or 9 to get a prime, so you must be careful if your phone number ends in any other digit. Forget the 0 at the beginning of your number and you are likely to get a 10 digit number. We show that given k, sufficiently large, you can preassign any 10 digits and still find primes.

This talk is part of the Discrete Analysis Seminar series.

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