Partial Index: S
- Dr. Marcus Sackrow
- Dirk Sadowski
- Manfred Säfken
- Shokhida Safarova
- Scott Safford
- Mina Safwat
- Torsten Sagner
- Nikolay Saharov
- Veronique Sainson
- Yuuki Saito
- Manabu Saito
- Hiroki Saito
- Elias Sajo
- Wataru Sakai
- Mika Saksanen
- Daniele Sala
- Przemek Salacha
- Jean-Loup Saladin
- Patrice Salah
- Julio Salazar
- Lasse Salmela
- Christiaan Salomons
- Dag Morten Salte
- Payam Samidoost
- Anton Samsonov
- Maxwell Sanchez
- F. Javier Sánchez
- Joachim Sander
- Lukas Sandhop
- Paul Sands
- Michael Sanger
- Joerg Sanner
- Dave Sanny
- Jukka Santala
- Thomaz Santana *
- Antonio Santana
- John Santiago-Wile
- Galih Santosa
- Pavlos Saridis
- Adam Sarok
- David Sas
- Takeshi Sasahara
- Tsukasa Sasaki
- Satoshi Sasaki
- Sho Sato
- 佐藤吉紘
- Toshiya Satoh *
- Akihiko Satou
- Gerhard Sattler
- Alexander Savchenko
- Jacob Sawyer
- Jeffrey Sax
- Seventeen or Bust *
- Randall Scalise *****
- Carmelo Scandaliato
- Bill Scarince
- Leonid Schaaf
- Edwin Schaap
- Steve Schadeli
- Thomas Schadt
- Achim Schaefer
- Christian Schäfer
- Mathieu Schaeffer
- Shawn Schafer **
- Adam Schaible
- Steven Schapendonk
- Daniel Schatte
- Hendrik Schawe *
- Mark Schell
- Daniel Schemmel
- Kirill Scherbakov
- Jan Scherer
- Cosimo Rocco Schiavo
- Rene Schick *
- Frank Schickel
- Matthias Schimmel
- Frederik Schiøler *
- Georg Schirwitz
- Josef Schlereth *
- John Schlesser
- Maik Schlotter
- Jean Schmalen
- Patrick Schmeer
- Tim Schmeiser
- Michael Schmeisser
- Lucas Schmid
- Thomas Schmidt
- Wolfgang Schmidt
- Göran Schmidt ***
- Jozsef Schmidt
- Kai Schmidt
- Martin Schmidt
- Stefan Schmitt
- Gregory Schmitz
- Herbert Schmitz Porten
- Frank Schneider
- Timo Schneider
- Ronald Schneider
- Florian Schneider
- Brent Schneider
- Axel Schneider
- Norbert Schneider
- Barry Schnur *
- Michael Schoeberl
- Patrick Schöfer
- Stephan Schöler
- Kay Schoenberger
- Markus Schoenberger
- Wolfgang Schönrogge
- Jason Schofield
- Jackson Hunt Scholl
- Richard Scholtz
- Dylan Austin Schoneweis
- Adrian Schori *
- Raymond Schouten
- Nick Schradick
- Dennis Schreiber
- Brian Schroeder
- Torsten Schroeder
- James Schroeder
- Brian Schroeder
- Benjamin Schuchmann
- Heiko Schuetz
- Mike Schulz
- Andre Schulz
- Ryan Schulz
- Scott Schulz
- Robin Schulz
- Michael Schulz
- Philipp Schulz
- Stefan Schulz
- James Schumacher *
- Alexander Schüpstuhl
- Adam SchwartzLowe
- Sebastian Schwarz
- Frank Schwegler *
- Wolfgang Schwieger ****
- Stephen Scott
- Steffen Scott
- Steve Scranton
- Robert Scullin
- William Seager
- Harvey Seargeant
- Jim Seaton
- Richard Seddon
- Mike Seddon
- Rob Sedgwick
- Jakub Sedlacek
- Jonathan Seeley *
- Ryan Sefko
- Martin Seinsche
- Aris Seisums
- Jaroslav Sekanina
- Dirk Sellsted *
- Uwe Senftleben
- Andriy Senkovych
- Tuomas Seppälä
- Richard Serjeantson
- Mike Serphillips
- Frédéric Servaz
- Dmitrij Sesok *
- SETIKAH
- SETI.USA Cluster
- Marley R. Sexton
- Rom Sey
- Toru Seyama
- Peter SeyboldEpting
- Garrett Seymour
- SG Booster
- Michael Shafer
- Peter Shane *
- Kirk L. Shanks
- Steven R. Shapiro
- Shashank Sharma
- George Sharp
- Damian Peter Shaw
- Peter Shaw
- Tom Shaw
- Jerry L. Shaw
- Garry Shay
- Alexandr Shcherbina
- Sam Shearman
- Ron Sheckler
- David Sheerin
- Anna Shefl
- Django Shegman
- ChunWei Shen
- Fangjia Shen
- Zhiheng Sheng
- Kellen Shenton **
- John Sheridan
- Michael Sherman
- Edward Sherry
- Nikolay Shestopal
- Tom Shewbridge
- Howard Shi *
- Ryota Shimizu
- Akira Shimizu
- Kaede Shintani
- Jeffrey Sholl
- Johnathon Shook
- John Shriner
- Alexander Shtov
- Ron Shurtz
- Alexander Shushpanov
- Craig Shyjak
- Duboi Si
- Vladyslav Siaber
- Thomas Siegemund
- Chris Siegert *
- Martin Siegrist
- Arne Sielemann *
- Willem Siemelink *
- Krzysztof Siemieńczuk
- Sierpinski/Riesel Base 5 **
- John Sikora
- Adrian Silo
- Paulo Silva **
- Eudy Silva *
- Daniel M. Silva
- Turati Silvano
- Paul Silver
- Alice Silverberg
- Damián Silvestre
- JeanPhilippe Simard *
- Alexey Simbarsky *
- Petar Simich
- Mike Simicsak
- Nick Simmerer
- Nicholas D. Simpson
- Mark Simpson
- Robbie Simpson
- Nanami Simpson
- Benjamin Simpson
- Anton Singsø
- Jonathan Sipes **
- Peter R. Sirl
- Robby Sites
- Jan Sjöberg
- Devlin Skahill
- Bradley Skinner
- Rod Skinner *
- Benjamin Sklar
- Joshua Brandelle Sklare
- Daniel Skoog
- Piotr Skorski
- Michal Skvor
- Bruce E. Slade **
- Sam Slade
- Jelle Slaets *
- Tod Slakans
- Rytis Slatkevicius
- Timothy Slegel
- Robert Ślęzak
- Konrad Sliwicki
- Jack Sloan
- Andrew J. Slodkiewicz
- Gerrit Slomma *
- David Slowinski
- Ant Sluijter
- Johan Småros
- David Smelser
- Guido Smetrijns
- Maarten Smeyers
- Stefan Smietanowski
- Derek Smit
- Jeff Smith
- Darren Smith
- Edson Smith
- Gene Smith
- J. K. Smith
- Joel Smith
- Philip W. Smith
- Robert W. Smith
- Jedidiah Smith
- Brian Smith
- Stephanie Smith
- Steven L. Smith *
- Matt Smith
- Stephanie Smith
- Ken Smith
- Christopher Smith
- Jeff Smith
- Rick Smith
- Rory Smith
- Adam Smith
- Marius Smith
- Ian Smith
- Joe Smith
- Jared Smith-Mickelson
- Marinus Rinie Smits
- Micah Smukler
- Edward Snell
- Andreas Sniekers
- Pietari Snow *
- Gerald C. Snyder
- Jeffrey Snyder
- Matthias Sobczyk
- Michael Sobolewski
- Paul Jobling's SoBSieve *
- David Söderholm
- Juuro Soga
- Werner Soika
- Roald Solbjørg
- Sebastian Soller
- Margus Sõmer **
- Murray Sondergard
- Brian Sones
- Xinle Song
- Nuttanon Songsuwan
- Baek Soonchul
- Koichi Soraku *
- Timothy Sorbera
- Eric J. Sorensen
- Torben Sørensen
- Thorsten Sorge
- Mark Souders
- Michal Soukop
- Larry Soule **
- Romain Soupault
- Bruce Southey
- Darin Sowby
- Michael Spall
- George Spangler
- Gordon Spence
- Leonard Andrew Spencer
- David Spencer
- Dr. Wolfram Sperber
- Luca Spinelli
- Vince Splain *
- Christian Sprafke
- SRBase
- Chaichontat Sriworarat
- Geoffrey Reynolds' srsieve ********
- Piotr Stabulewicz
- Mark Stahl
- Keira Stambolidou
- Rafal Stanek
- Hans Stangl
- Rafal Stanilewicz
- Konstantin Stanko *
- S. Starbuck
- Ryan Stasel
- Pan Staszek
- Greg Staunton
- Jan Stavel
- Chris St.Clair
- David Steel
- Harald Steen
- Chad Steenerson
- Phillip Steer
- Filip Stefaniak
- Paul Steffener
- Milan Štefko
- James Steichen
- Maurice Steikert
- Guido Stein
- Jürgen Stein
- Will Steinbach **
- Ruben Steinberg **
- Mathew Steine
- Joerg Steinmetz
- Martin Steinmetz LL.M.
- Friedrich Yuhma Steinwedel *
- Manuel Stenschke
- Reinhard F. Stenzel
- Lee Stephens
- Pavel Štěpnička
- Stefan Stern
- David Stevens
- Jeff Stevens
- Andrew A. D. Steward
- Matt Stewart
- Shaun Stewart
- Allan St. George
- Maximilian Stiede
- Jason M. Stillwell
- Geoff Stirling
- Lee Stirzaker
- Anthony Stockalis
- Michael Stocker
- Sven Stockmann
- Even Stokkedalen
- Dieter Stoll
- Guido Stolz
- Douglas Stones
- Eric Stopper
- Anthony Storch
- William Stott
- Drew Stovall
- Alan StPierre
- Roman Strajt *
- Jan Straka
- Kai Strang
- Giuseppe Strano
- Markus Straub
- Wolfgang Straubinger
- Connor Streifel
- Bradley L. Strickland
- Mathias Striecks
- Odd Magnar Strindmo
- Daniel Stripes
- Henry Strobel
- Yuri Strokov
- James Stroup
- Neil Stuart
- Michael A. Stuart
- Michael Vincent Sturman
- Marco Sublet
- Christian Suchi
- Sofia Suchomsky
- Uygar Suen
- Hiroki Sugawara
- Bill Sugino
- Sean Sullivan
- Erich Sulzer
- Yoshinari Sumi
- Jiong Sun
- Zhaoyi Sun
- Sturle Sunde
- Dave Sunderland *
- Randy Sundquist
- SunGard Availability Services
- Gary Suter
- Andrew V. Sutherland
- David Sutton
- Adam Sutton
- Hiromi Suyama
- Akinori Suzuki
- Yasuhito Suzuki
- Ola Svallmark
- Viktor Svantner *
- Hans Sveen *
- Frøydis Sveen
- Peter Buur Svendsen
- Jan Svensson
- Trevor Swann
- Joseph L Swasey
- Dan Swearingen
- Kristofer Swenson
- Aaron Swihart
- Dennis Sydekum *
- Richard Sykes
- Jiří Sýkora
- Bouchard Sylvain
- Balázs Szabó
- Péter Szabolcs
- Mariusz Szafrański **
- Piotr Szajerski
- Dan M. P. Szczotka
- Szekeres Béla
- Damian Szeluga
- Janusz Szmidt
- Michal Szostak
- Lucjan R. Szreter
- Peter Szucs
- Tomasz Szulc
- Radoslaw Szumlakowski
- Mariusz Szydlik
- Krzysztof Szymański.
- Radoslaw Szymeczko
(The stars * after the names roughly indicate the
number of primes each prover has on the current list.)
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