May 8, 2019 • Dr. Tom Nicely • post

On 08 May 2019, Robert W. Smith discovered a new first known occurrence prime gap of 203890 following the 2485-digit prime 140207∗5813#/46410 - 86644.

This gap has merit 35.640174363, the greatest merit for any known prime gap exceeding 26892.

On 08 July 2019, Smith also discovered a new first known occurrence prime gap of 614640 following the 10004-digit prime 281∗23173#/46410 - 267338.

This gap has merit 26.6845515588753865, the greatest merit for any known prime gap exceeding 556982.

An extended table of previous such gaps, due to Robert W. Smith and axn, is available on the Mersenne PGS forum.

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