June 18, 1998, Toronto (Canada) Fields Institute, Hello everybody, this newsletter comes late since I'm at the FPSAC (Formal Power Series and Algebraic Combinatorics) conference in Toronto. It will be short too. June was so far a lucky month for ecmnet with several large factors found. All new factors of 30 digits or more found since mid-May are: 115690846857912397278375911371 divides 10^405+1 Linus Nordberg 144170212041093047547902840521 divides 11^260+1 Allan MacLeod 765655146684397325008966702621 divides 727^49-1 Samuli Larvala 1072881923818635144449927674819 divides 11^451+1 Allan MacLeod 1627839311921131673455277189737 divides 10^332+1 Torbjorn Granlund 4818531445075172246553021289393 divides 11^278+1 Allan MacLeod 13259356138663875203672658852757 divides 719^41-1 Samuli Larvala 13720057759140780365187158337101 divides 11^221-1 Allan MacLeod 359846976075630863007498752386627 divides 2^1111+1 Bruce Dodson 754309323029578981494450523147961 divides 10^286+1 Torbjorn Granlund 1000215069936448424297877519565769 divides 11^196+1 Allan MacLeod 1786097907260768050299030591589751 divides 7^229+1 Vilmar Trevisan 2678163373711493257558608239592337 divides 7^226+1 Michel Quercia 49354957842491569509980274834655501 divides 3^425-1 Michel Quercia 1484634814754765102950461457617206077 divids W(388) Paul Leyland 37760873163247728235828372169734753939 divides 2^1011+1 Bruce Dodson 445538977312957153485923190322961189401 divides 3^425-1 Michel Quercia 453098474981964966729037498128705243871 divides 5^301-1 Nick Gorham & Paul Nicholson 7752619982267966542535041531665354400879 divides 5^299-1 Paul Zimmermann 208431792655914668791053468894512489769379 divides 2^589+1 Paul Zimmermann Congratulations to all discoverers, many thanks to all other helpers (your turn to be lucky will come, don't panic), and I wish to all of you a happy end of June and beginning of July, Paul Zimmermann