248283957683772055928836513597 + d, d = 0, 4, 6, 10, 16, 22, 24, 30, 34, 36, 42, 46, 52, 60, 64, 66, 70, 72, 76
(30 digits, 1 Aug 2016, Raanan Chermoni & Jaroslaw Wroblewski)

138433730977092118055599751677 + d, d = 0, 4, 6, 10, 16, 22, 24, 30, 34, 36, 42, 46, 52, 60, 64, 66, 70, 72, 76
(30 digits, 8 Oct 2015, Raanan Chermoni & Jaroslaw Wroblewski)

First non-trivial known to given pattern
39433867730216371575457664407 + d, d = 0, 4, 6, 10, 16, 22, 24, 30, 34, 36, 42, 46, 52, 60, 64, 66, 70, 72, 76
(29 digits, 8 Jan 2015, Raanan Chermoni & Jaroslaw Wroblewski)

2406179998282157386567481191 + d, d = 0, 6, 10, 16, 18, 22, 28, 30, 36, 42, 46, 48, 52, 58, 60, 66, 70, 72, 76
(28 digits, 31 Dec 2012, Raanan Chermoni & Jaroslaw Wroblewski)

2348190884512663974906615481 + d, d = 0, 6, 10, 16, 18, 22, 28, 30, 36, 42, 46, 48, 52, 58, 60, 66, 70, 72, 76
(28 digits, 17 Dec 2012, Raanan Chermoni & Jaroslaw Wroblewski)

917810189564189435979968491 + d, d = 0, 6, 10, 16, 18, 22, 28, 30, 36, 42, 46, 48, 52, 58, 60, 66, 70, 72, 76
(27 digits, 29 May 2011, Raanan Chermoni & Jaroslaw Wroblewski)

656632460108426841186109951 + d, d = 0, 6, 10, 16, 18, 22, 28, 30, 36, 42, 46, 48, 52, 58, 60, 66, 70, 72, 76
(27 digits, 19 Feb 2011, Raanan Chermoni & Jaroslaw Wroblewski)

Smallest & first known to given pattern
630134041802574490482213901 + d, d = 0, 6, 10, 16, 18, 22, 28, 30, 36, 42, 46, 48, 52, 58, 60, 66, 70, 72, 76
(27 digits, 9 Feb 2011, Raanan Chermoni & Jaroslaw Wroblewski)

428407853295060068253460573 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66, 70, 76
(27 digits, 25 Apr 2026, John Armitage)

First non-trivial known to given pattern
362446150252909869314435203 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66, 70, 76
(27 digits, 24 Apr 2026, John Armitage)

237171785884995638727760747 + d, d = 0, 4, 6, 10, 16, 22, 24, 30, 34, 36, 42, 46, 52, 60, 64, 66, 70, 72, 76
(27 digits, 1 May 2026, John Armitage)

Smallest non-trivial to given pattern
215150755851370395442356007 + d, d = 0, 4, 6, 10, 16, 22, 24, 30, 34, 36, 42, 46, 52, 60, 64, 66, 70, 72, 76
(27 digits, 2 May 2026, John Armitage)

Smallest to given pattern
204480527545513119437376727 + d, d = 0, 4, 6, 10, 12, 16, 24, 30, 34, 40, 42, 46, 52, 54, 60, 66, 70, 72, 76
(27 digits, 24 Apr 2026, John Armitage)

{37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113}

{13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89}