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Topic: Safe prime


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In the News (Fri 25 Jul 08)

  
  Safe prime - Wikipedia, the free encyclopedia
With the exception of 7, a safe prime q is of the form 6k - 1 or, equivalently, q ≡ 5 (mod 6).
Safe primes are also important in cryptography because of their use in discrete logarithm-based techniques like Diffie-Hellman key exchange.
Safe primes ending in 7, that is, of the form 10n + 7, are the last terms in such chains when they occur, since 2(10n + 7) + 1 = 20n + 15.
en.wikipedia.org /wiki/Safe_prime   (657 words)

  
 PlanetMath: safe prime
Every safe prime matches to a Sophie Germain prime this way, and some safe primes are Sophie Germain primes themselves too, matching to yet another safe prime.
Safe primes have been used in various methods of cryptography, but the safety of their use depends not just on these mathematical properties but also on their being large enough that their multiples can't be factored in a reasonable period of time by contemporary computers.
This is version 1 of safe prime, born on 2006-03-31.
planetmath.org /encyclopedia/SafePrime.html   (180 words)

  
 Prime One Studies and Safety   (Site not responding. Last check: 2007-10-13)
Prime One significantly decreases the level of lipid peroxide oxidation in the liver under the influence of stress.
Prime One possesses an expressed hepatoprotective activity (dose 0.2ml/kg and 0.4ml/kg), activating the microsomal monoxygenase system of the liver cells (displayed by a decrease in the duration of hexane sleep), stabilizing the liver cell membranes and protecting them from the damaging influence of exogenous poison and activating the detoxicating function of the liver.
The safety of Prime One for extended use is understood in the context of the theoretical foundations underlying the dynamics of stress and the action of adaptogens.
www.primepowerteam.com /prime_one/prime_one_safety.htm   (2881 words)

  
 Prime Curios!: 5
5 is simultaneously the first prime that is the sum of two previous primes (2 + 3) and the first prime that is the sum of two previous non-primes (1 + 4).
The only prime which is the sum of "Siamese primes," i.e., 2 and 3, which are the only pair of primes that are conjoined (have no gap between them).
The smallest odd prime equal to the sum of two squares and to the arithmetic mean of two squares.
primes.utm.edu /curios/page.php/5.html   (1302 words)

  
 Prime
Prime™ is the complete and concentrated conditioner for both fresh and salt water.
Prime™ converts ammonia into a safe, non-toxic form that is readily removed by the tank’s biofilter.
Prime™ may be used during tank cycling to alleviate ammonia/nitrite toxicity.
www.seachem.com /products/product_pages/Prime.html   (282 words)

  
 Amazon.com: Safe: DVD: Julianne Moore,Peter Friedman,Xander Berkeley,Susan Norman,Kate McGregor-Stewart,Mary ...   (Site not responding. Last check: 2007-10-13)
Maybe it's safe to call it the ominous rumblings beneath the surface of Carol's life, from antiseptic affluence to septic isolation in the spa environment.
Carol White and her fellow acoyltes at the "sanctuary" are all brain-numbed on the humorless cult of New Age therapy, giving credence to a motivation speaker who lives in a grand mansion overlooking the shack house squalor of his followers.
"Safe" is not plot-centered and it isn't even character-centered, but it is a film that is symptomatic of our times- which in other words means it could care less about Hollywood notions of pacing and storytelling technique.
www.amazon.com /Safe-Todd-Haynes/dp/B00005LVWV   (2500 words)

  
 Prime Shine Express : Services : Car Wash Faq
Almost every drop of fresh water that Prime Shine uses is captured in large concrete tanks running beneath the vehicles and stored for potential reuse.
This may be a perfect way for your business vehicles to keep their image shiny and bright, to thank customers, or for you to let your employees know how much you appreciate the hard work that they do.
Prime Shine is always looking for talented and enthusiastic people to join its wash tech team or its management training system.
www.primeshine.com /services/wash_faq.aspx   (1035 words)

  
 [No title]   (Site not responding. Last check: 2007-10-13)
The prime may have to fulfill additional requirements for use in Diffie-Hellman key exchange: If add is not NULL, the prime will fulfill the condition p % add == rem (p % add == 1 if rem == NULL) in order to suit a given generator.
If safe is true, it will be a safe prime (i.e.
BN_is_prime_fasttest(), when called with do_trial_division primes; if no divisors are found by this test and callback is not NULL, callback(1, -1, cb_arg) is called.
www.ibiblio.org /gferg/ldp/man/man3/BN_generate_prime.3ssl.html   (426 words)

  
 Sophie Germain prime - Wikipedia, the free encyclopedia
A Sophie Germain prime p > 3 is of the form 6k - 1 or, equivalently, p ≡ 5 (mod 6).
A sequence {p, 2p + 1, 2(2p + 1) + 1,...} of 1 or more Sophie Germain primes, ending with a prime which does not have to be a Sophie Germain, is called a Cunningham chain of the first kind.
Sophie Germain primes have a practical application in the generation of pseudo-random numbers.
en.wikipedia.org /wiki/Sophie_Germain_prime   (536 words)

  
 My Healthy Home
OXY-BOOST is safe to use at all temperatures, on most washable fabrics, and all colors, in hard or soft water, and is compatible with other household cleaners.
Safe 'N Soft is vegetable based, unlike most other fabric softeners which are based on tallow, a by-product of the animal processing industry.
Safe to use on all glass (treated glass, Plexi-glass, auto glass, mirrors, light fixtures, etc.) plus chrome, appliances, floors, or any surface that needs general cleaning.
www.myhealthyhome.info /products/products.htm   (2652 words)

  
 Shopzilla - Shop online for prime Fish Supplies in Pet Supplies
Prime Reef Flake Fish Food Ocean Nutrition This food is nutritionally enriched for flavor and coloration...
PRIME 2 LITER This concentrated conditioner is ideal for marine aquariums.
PRIME 250 ML This concentrated conditioner is ideal for marine aquariums.
www.shopzilla.com /7Y_-_cat_id--31000400__keyword--prime+safe   (520 words)

  
 Prime II
PRIME II’s Safe Motherhood projects showed that when pregnant women and their caregivers understand the birth process and can recognize and manage life-threatening complications, their knowledge and skills help to reduce the risk of maternal morbidity and mortality.
In Nicaragua and Guinea, PRIME collaborated with NGO networks to help improve access to maternal and newborn services, working with local organizations to educate pregnant women, their families and communities about recognizing and responding to danger signs.
PRIME II also worked with local governments to improve the quality of care for obstetric and neonatal emergencies by training traditional birth attendants and other primary providers in appropriate life-saving skills.
www.prime2.org /prime2/section/40.html   (211 words)

  
 Prime: The New Adventures #3
When Prime showed interest in her, she was at first flattered but then afraid that someone so old would like her.
After Prime defeated his henchmen, including the ultra Kutter, the Mind Shaper was able to trace Prime’s whereabouts to Roosevelt Junior High and attacked the school to bring forth Prime.
Prime jumped into the sky and flew down toward Manhattan, where he found the Channel 4 News Station.
marvelite.prohosting.com /ultraverse/primetna3.html   (2942 words)

  
 Problem 4.- Fortune's Conjecture
This are the first 20 Fortunate primes : 3, 5, 7, 13, 23,17, 19, 23, 37, 61, 67, 61, 71, 47, 107, 59, 61, 109, 89, 103.
Is this the first and unique known "mechanical" procedure to produce as many prime number (forget for a moment the difficulties) as you want.
I believe that the procedure of Fortune and that of Carl Pomerance that I generalized (see Problem 2) are the only ones which can existed and which can give primes, but since the time I can’t prove that.
www.primepuzzles.net /problems/prob_004.htm   (439 words)

  
 Prime offers many ways to help you earn more money
Prime offers a wide range of incentives designed to promote safety, on-time service, fuel consumption, tractor maintenance, and training.
Prime recognizes hard work and dedication, and encourages our drivers to be the best in the industry by rewarding safe, efficient, and reliable practises.
Prime offers a special program for Independent Contractors called "Retention and Rewards" that rewards drivers for ongoing service to Prime Inc. Prime contributes $1000 annually and Success Leasing, Inc., offers $500 annually, for a total of $1500 annual incentives.
www.primeinc.com /drivers/money_making_programs.html   (342 words)

  
 Prime Industrial Rental
According to Geoff Morris, Prime Industrial Rental’s Regional Manager — Queensland, the decision to close the agency and open a branch in Mount Isa was driven by Prime’s desire to be closer to its customer base.
Steve Haynes, Prime Industrial Rental’s Mount Isa Branch Manager sees the new branch as an important move for Prime Industrial Rental in terms of building its profile in the region.
The yard at the Prime Industrial Rental Mount Isa branch is stocked with diesel and electric compressors, generators, pumping equipment, lighting towers and ancillary equipment.
www.primeindustrial.com.au /news_details.asp?ID=57   (543 words)

  
 Prime Suspect
New Orleans Police Department Homicide Detective Slade Montgomery has just come from one murder scene to another only to discover that someone is trying to kill the woman who broke his heart by leaving him at the altar.
He realizes that she the lead suspect in the killing of her ex-husband, but he is also determined to keep her safe from whoever is trying to end her life.
Prime Suspect is a fast paced adventure that will keep you guessing.
www.fallenangelreviews.com /2006/September/Tammy-PrimeSuspect.htm   (260 words)

  
 Roxen Community: RFC 4419 Diffie-Hellman Group Exchange for the Secure Shell (SSH) Transport Layer Protocol (Standards ...
A prime p is safe if p = 2q + 1 and q is prime.
The generator g should be chosen such that the order of the generated subgroup does not factor into small primes; that is, with p = 2q + 1, the order has to be either q or p - 1.
It is important to employ only safe primes as moduli, as they allow us to find a generator g so that the order of the generated subgroup does not factor into small primes, that is, with p = 2q + 1, the order has to be either q or p - 1.
community.roxen.com /developers/idocs/rfc/rfc4419.html   (1860 words)

  
 Gillis Triplett - Is "Safe Sex" Really Safe?
Safe sex is the sexual activity (especially sexual intercourse) with the use of measures (such as latex condoms) to prevent pregnancy and stop the transmission of sexually transmitted diseases (especially AIDS).
Hence the term, “Safe Sex.” By all accounts, the belief in “Safe Sex,” originated from a number of possible sources.
Originally only used as a form of birth control, condoms were then promoted as a prime safe sex device and the best method to prevent sexually transmitted diseases.
www.gillistriplett.com /rel101/articles/safesex.html   (2572 words)

  
 Proving in Zero-Knowledge that a Number is the Product of Two Safe Primes   (Site not responding. Last check: 2007-10-13)
A committed (or revealed) number is the product of two safe primes, i.e., primes p and q such that (p-1)/2 and (q-1)/2 are primes as well.
A given value is of large order modulo a composite number that consists of two safe prime factors.
As a consequence, it can be shown that a given value is of large order modulo a given number that is a product of two safe primes.
www.brics.dk /RS/98/29   (321 words)

  
 Safe Network Computing: Windows Desktop
It describes a way of using your Windows PC in combination with central Unix servers and the Internet that keeps your PC safe from hostile attack as well as from data loss due to natural disaster or accident, and is offered as an example of one relatively experienced person's working environment.
You might be able to make your browser safe by going through all sorts of incomprehensible dialogs and applying many patches, but you'll never really know.
Share files safely with your friends and colleagues at Columbia using a flexible system of permisions and group membership.
www.columbia.edu /kermit/safe.html   (6339 words)

  
 The Quantum Pontiff » 2006 » August   (Site not responding. Last check: 2007-10-13)
Not only is it a prime number, but it is a Sophie Germain prime number.
Not only is the number a Sophie Germain prime number, but it is also a safe prime number.
(Safe primes are useful for the discrete logarithm problem because they have subgroups of large order.) Pretty cool, no? (1229, 2459, 4919, 9839 form a Cunningham chain of the first kind)
dabacon.org /pontiff/?m=20060818   (304 words)

  
 Safe and Natural Cleaning Products for Home, Janitorial and Laundry Use
Add 1 ounce of Safe 'N Soft to rinse cycle or use 1 ounce in your washer's fabric softener dispenser as instructed on your machine.
Safe 'N Soft in 1 to 3 ounces water and apply to dampened wash cloth; toss in dryer with damp wash.
Safe to use on all glass (treated glass, Plexiglass, auto glass, mirrors, light fixtures, etc.) plus chrome, appliances, floors, or any surface that needs general cleaning.
www.wonderpaint.com /cleaners/oxyboost/NCproducts.shtml   (1876 words)

  
 Earth's Safe Zone Became Hot Zone During Legendary 2003 Solar Storms | News Center | University of Colorado at Boulder
The new observation reveals that the safe zone is not as benign as previously thought.
High radiation occasionally forms in the safe zone during solar storms, but usually is not intense and dissipates in a few days.
SAMPEX observed the formation of the new belt in the safe zone on Oct. 31, 2003.
www.colorado.edu /news/releases/2004/400.html   (828 words)

  
 DH_generate_parameters
prime_len is the length in bits of the safe prime to be generated.
A callback function may be used to provide feedback about the progress of the key generation.
It checks that p is a safe prime, and that g is a suitable generator.
www.math.ucla.edu /computing/docindex/openssl-doc-man-564.html   (228 words)

  
 prime numbers - Dev Shed
prime numbers C programming forum discussing all C derivatives, including C#, C++, Object-C, and even plain old vanilla C. These languages are low level languages, and used on projects such as device drivers, compilers, and even whole computer operating systems.
The user types in a number(20 digit) and if it isnt prime, I´m supposed to find the closest prime to the number given.
As it’s name implies, the function generates prime numbers, but more importantly, it generates pseudorandom primes.
forums.devshed.com /c-programming-42/prime-numbers-171877.html   (929 words)

  
 Mystery Case Files Prime Suspects Game - ArcadeTown.com
In Mystery Case Files Prime Suspects, it’s up to you to search for clues throughout 22 levels, find the offending culprit, and recover the stolen gem.
Mystery Case Files Prime Suspects is all about paying close attention to details.
The last level was a tough one but I found the box easy to solve after I took a good look at.
www.arcadetown.com /mysterycasefilesprimesuspects/game.asp   (428 words)

  
 Crypto++ Faq-O-Matic: Why is ElGamal key generation so slow?   (Site not responding. Last check: 2007-10-13)
If you do not specify the prime modulus, one will be generated, however because the modulus must be a safe prime (a prime p such that (p-1)/2 is also prime), and those are much rarer than regular primes, it takes a long time.
I suggest that you use an existing well known safe prime instead.
The g (generator) value for this prime should be 2.
www.cryptopp.com /fom-serve/cache/71.html   (137 words)

  
 The On-Line Encyclopedia of Integer Sequences
Then (p-1)/2 is called a Sophie Germain prime: see A005384.
Or, primes of the form 2p+1 where p is prime.
Or, primes p such that p-1 is a semiprime.
www.research.att.com /~njas/sequences/A005385   (175 words)

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