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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) A prime number with at least 1,000,000 digits is called a megaprime. One of the Clay Mathematics Institute's Millennium Prize Problems (The Riemann Hypothesis) implies results about the distribution of prime numbers; a prize of $1,000,000 is offered for its proof. [McAlee] Paul Erdős said, shortly before he died, "It will be another 1,000,000 years, at least, before we understand the primes." Physicists attack math's $1,000,000 question. [Wolchover] The smallest positive integer not found in the digits of the current largest known prime (2^825899331). [Gaydos] Copy/paste the following program to the left screen under "BASIC Program" at Quite BASIC and click on the triangular arrow above "Line:" at upper left to RUN: 02 REM The First 1,000,000 Prime Numbers 03 REM www.PrimeCurios.com 05 PRINT "2";","; 07 PRINT "3";","; 11 FOR N = 3 TO 15485863 STEP 2 13 FOR D = 3 TO N STEP 2 17 IF N/D = INT(N/D) THEN 31 19 IF N/D < SQR(N) THEN 29 23 NEXT D 29 PRINT N;","; 31 NEXT N 37 END
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