177857809
This number is a prime.
Start at 177857809. Double and either add or subtract d = 308843535. Repeat. This can produce a sequence with a record length of 26 distinct primes.
Start number: 177857809 * 2 - d = 46872083 * 2 + d = 402587701 * 2 + d = 1114018937 * 2 + d = 2536881409 * 2 - d = 4764919283 * 2 - d = 9220995031 * 2 + d = 18750833597 * 2 - d = 37192823659 * 2 - d = 74076803783 * 2 - d = 147844764031 * 2 - d = 295380684527 * 2 + d = 591070212589 * 2 - d = 1181831581643 * 2 + d = 2363972006821 * 2 + d = 4728252857177 * 2 - d = 9456196870819 * 2 + d = 18912702585173 * 2 + d = 37825714013881 * 2 + d = 75651736871297 * 2 + d = 151303782586129 * 2 + d = 302607874015793 * 2 - d = 605215439188051 * 2 - d = 1210430569532567 * 2 - d = 2420860830221599 * 2 + d = 4841721969286733[Seggelin and Andersen]
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