Prime Curios!: 863

863
(another Prime Pages' Curiosity)

Curios:

Index
Keywords
Home
Glossary
The book!
Previous
Next
Random

Curios Search: Participate:

Mail Editor
Submit Curio
Prime Puzzio
Test Number

The largest 3-digit prime that can be written as the sum of 15 consecutive primes: 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61 + 67 + 71 + 73 + 79 + 83 + 89.

Weintraub discovered that 6505941701960039 is followed by exactly 863 composites. This was the largest prime gap explicitly calculated at the time.

863 = (11 + 71) + (11 * 71). Note that 11, 71 and 863 are primes. [Capelle]

sigma(863) = phi(prime(8)*prime(6)*prime(3)). It is the only known multidigit such prime (up to 2*10^8). [Firoozbakht]

The number of "norep" (or distinct-digit) emirp pairs between a hundred and a million. [Beedassy]

To link to this page use http://primes.utm.edu/curios/page.php?number_id=209