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Phrimes 1

2019-11-28 01:55:00+01:00 by Weldon Goree in Math
Tags: primes nanp phone phreak

Prime phone numbers

List of ten-digit decimal numbers that are both prime and compliant with the North American Numbering Plan.

Thanks to Prime Curios for most of the curios.

2106945901

  • AT&T San Antonio, Texas, metro area
  • 2106945901 = 210^2 + 45901^2

2147483647

  • Southwestern Bell VOIP Dallas, Texas
  • High spam rating
  • 8th Mersenne prime
  • 0x7FFFFFFF: largest twos-complement 32-bit signed integer

And so the last prime that can be produced by a 32-bit sieve

2232232273

  • Unused exchange in south-central Pennsylvania

2233777723

  • Unused exchange in south-central Pennsylvania

2236133941

  • Unused exchange in south-central Pennsylvania

2245849783

  • Unused exchange in northern Chicago, Illinois, suburbs

2282113373

  • Unused exchange in coastal Mississippi

2319131071

  • Unused exchange in western Michigan

2426256797

  • Bahamas

2462372461

  • Cable & Wireless Barbados

2486784401

  • Mobile number in Michigan

2493578167

  • Telus Northern Ontario

2527293133

  • CenturyLink eastern North Carolina

2547863419

  • Windstream communication central Texas

2568130541

  • DeltaCom in northern Alabama
  • Yields 9 other primes if you insert the digit 9 between any two sequential digits e.g. 29568130541, 25968130541

2627282963

  • Ameritech southern Wisconsin

2763087059

  • Unused exchange in southwest Virginia

3086358019

  • CenturyLink western Nebraska

3133183103

  • Cingular Wireless, Detroit, Michigan, metro area

3215031751

  • Omnipoint Miami, Florida
  • First prime missed by the strong-k pseudoprime test

3217924201

  • Unused exchange in central Florida

3235328807

  • T-Mobile Los Angeles, California

3259714649

  • Unused exchange west Texas

3322255777

  • VOIP Manhattan, New York

3323333323

  • Voxbeam Telecom Manhattan, New York

3326252221

  • Unused exchange Manhattan, New York

3349304527

  • Unused exchange in southeast Alabama

4076863487

  • T-Mobile central Florida

4085747551

  • Pacific Bell landline Silicon Valley, California

4139373533

  • CTC Communications landline western Massachusetts

4734234247

  • Grenada

5027672681

  • Sprint northern Kentucky

5038465463

  • Frontier Communications northwest Oregon

5061728993

  • New Brunswick

5513600773

  • Unused exchange New Jersey

6058655748

  • Qwest VOIP South Dakota

6102977801

  • Tcg VOIP southeast Pennsylvania

6607882123

  • Chariton Valley Communications Corporation northern Missouri

7313292827

  • Unused exchange western Tennessee

7313711101

  • Unused exchange western Tennessee

7373533723

  • Unused exchange Austin, Texas metro area

7408868921

  • Frontier Communications landline Columbus, Ohio, metro area

7427466391

  • Toronto, Ontario, metro area
  • First 10-digit prime in the decimal expansion of e
  • Used by Google in Boston-area recruiting campaign.

7758337633

  • Nevada Bell landline, outside of Las Vegas

8018018851

  • Unused exchange in Salt Lake City, Utah, metro area

8064645241

  • Teleport Communications Group landline Texas panhandle

8106089891

  • Verizon Wireless Flint, Michigan

8192454631

  • Invic Telecom Quebec

8332512563

  • Toll-free

8565705523

  • Unused exchange in Camden, New Jersey

8589935681

  • Unused exchange in San Diego, California
  • Largest prime less than a googol of the form 2^n + n^2

8753196421

  • Toll-free

8776320587

  • Toll-free

9152992349

  • Unused exchange in west Texas

9199999999

  • Nominating this for "number that most seems to violate NANP but doesn't"
  • Also "number that seems like it shouldn't be prime but is"
  • Unused exchange in North Carolina's Research Triangle (seriously some lab get on that)

9387802769

  • Unused exchange in northern Alabama

9512368741

  • Cingular Wireless, southern California

9848868889

  • Unused exchange in central North Carolina
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