A new record AP24 (Arithmetic Progression of 24 primes) has been found. It is the largest known AP24. It has an ending term of 25490711550130537 surpassing the old record of 19898154930924749. The finder is Andreas Kobara (Lexs) of Germany. This is his 1st AP24 discovery. He is a member of Gentoo Linux Users Everywhere.

The AP24 was returned on 5 May 2009 12:16:21 UTC. It was found by an Intel Core 2 Duo E8500 @ 3.16GHz running 32 bit Windows XP. It took about 20 minutes 43 seconds to process the WU (each WU tests 3 progression differences).

The progression is written as 167806194923077+4935146*23#*n for n=0..23. Credits are as follows:

Finder: Andreas Kobara Project: PrimeGrid Program: AP26

AP26 was written by Jaroslaw Wroblewski and adapted to BOINC by Geoff Reynolds.

The AP24 will be listed in Jens Kruse Andersen's Primes in Arithmetic Progression Records page under the sections:

• The largest known AP-k
• Smallest AP-k with minimal start
• Record history for smallest AP-k with minimal start
• Record history for the largest known AP-k
• All known AP24 and AP25

Congratulations! Best of Luck on the continued search for the AP26. :)

Additional AP Information How to search for 26 primes in arithmetic progression? by Jaroslaw Wroblewski Primes in arithmetic progression - Wikipedia Prime Arithmetic Progression - Wolfram MathWorld arithmetic sequence - The Prime Glossary at the Prime Pages

The 24 terms of the AP24 167806194923077+4935146*23#*n for n=0..23

23#=23571113171923=223092870

167806194923077+49351462230928700=167806194923077 167806194923077+49351462230928701=1268802079932097 167806194923077+49351462230928702=2369797964941117 167806194923077+49351462230928703=3470793849950137 167806194923077+49351462230928704=4571789734959157 167806194923077+49351462230928705=5672785619968177 167806194923077+49351462230928706=6773781504977197 167806194923077+49351462230928707=7874777389986217 167806194923077+49351462230928708=8975773274995237 167806194923077+49351462230928709=10076769160004257 167806194923077+493514622309287010=11177765045013277 167806194923077+493514622309287011=12278760930022297 167806194923077+493514622309287012=13379756815031317 167806194923077+493514622309287013=14480752700040337 167806194923077+493514622309287014=15581748585049357 167806194923077+493514622309287015=16682744470058377 167806194923077+493514622309287016=17783740355067397 167806194923077+493514622309287017=18884736240076417 167806194923077+493514622309287018=19985732125085437 167806194923077+493514622309287019=21086728010094457 167806194923077+493514622309287020=22187723895103477 167806194923077+493514622309287021=23288719780112497 167806194923077+493514622309287022=24389715665121517 167806194923077+493514622309287023=25490711550130537