TEAM PRIME RIB Home How to Join & FAQs Chat Room guide Math teaching Kid Math Seventeen or bust Emailing Top Teams Pages Top Producers Report Top Producer Graphs Top Factoring Report Top Factoring Graphs Team Overtake Report Assigned Exponents Team Summary Team Graphs Member Summary Double Checking Lucas-Lehmer Trial Factoring The Orphanage Cleared Exponents Recent Summary Member Summary Member Output Member Graphs Team Graphs Latest Mersenne Update Triple Checks Required Incorrect Team Results Links P90 CPU yrs Calculator Gimps Home Page Gimps Forum PrimeNet Home Gimps Team Stats Ars Distributed Forum Ars Food Court Ars SuperComputer Ars Technnica In mathematics and more precisely in modular arithmetic, a Mersenne prime is a prime number being written in the form 2^p - 1, p being first. These primes are named after French mathematician and a scholar of the seventeenth century, Marin Mersenne. Mersenne primes are in base 2 (binary). Mersenne primes are related to perfect numbers, which are numbers equal to the sum of their proper divisors. It is this connection that has historically driven the study of Mersenne primes. From the fourth century BC, Euclid proved that if M = 2^p - 1 is prime, then M (M +1) / 2 = 2 (p-1) (2p - 1) is a perfect number. Two millennia later, in the eighteenth century, Euler proved that all even perfect numbers have this form. No odd perfect numbers are known.

Team Summary
Run Date : 02-Jan-2011 00:47 UTC (Jan 01 2011 19:47 EST)
Last Primenet Report Date : 02-Jan-2011 00:00 UTC

 Team Exponent Health Recently Assigned or Checked in Not checked in Recently Overdue/Near Expiry
 Lucas-Lehmer Double Checking Trial Factoring Totals Number Of Exponents Assigned 497 654 1118 2269 Number Of Members 85 65 56 139 * Number Of Computers Assigned 239 294 232 728 * Total Ghz Assigned 580.257 596.493 381.785 1477.72 * * Totals may not tally due to computers with more than one type of exponent assigned.
 Computer Id Mhz Ver Member Date Added aEric_01 1794 v19/v20 aEric 02-Jan-11 pc60 1531 v19/v20 bhs128 02-Jan-11 Baenwort 2199 v19/v20 Baenwort 02-Jan-11 riskin06 2204 v19/v20 riskin 02-Jan-11 Reboot_ItXXX 2992 v19/v20 Reboot_It 03-Jan-11

Prime numbers are a fascinating topic for all interested in numbers in general and in Mersenne games in particular. Because if it is fun for you to play with numbers, all get simple. Otherwise it is boring. For example let's consider the case of roulette, whether you play a game of roulette or simply pretend to play the game. Obviously you do not need to master prime numbers to understand this game as there are only 32 numbers to choose from in this game. But the question is rather, is there any way to predict the outcome of that game. This is what thousands of people have been trying to do since the apparition of this game a few hundred years ago, and interestingly the point here is that prime numbers may help to answer this question, as well as chaos theory.

Prime numbers have fascinated scientists for hundreds of years and they are involved in many technical, scientific and computing applications. This is a major field in pure mathematics as well. It would not be obvious to see their involvement in other fields like business or marketing, but as business theories are based on math, one can see the ramifications of how prime numbers reach out to all human activitites. Take search engine optimization as an example, likewise we could not see a direct connection but there is certainly an indirect link. It seems mathematics are shaping our world and our universe and prime numbers still remain one of its mysteries. This is why we are working hard at understanding them better.

Another application is in waste management optimization. Water and wastewater treatment process optimization reduces the occurrence of problems, protects the environment, ensures regulatory compliance, and can also save people money. During the first stage of process optimization, a thorough evaluation of the process parameters and the external elements that affect the process can be computed. Such waste management optimization helps lower pollution but nowadays the mosty advanced computational techniques are deployed for best results.

The financing of equipment such as a sorting center forces small municipalities to think together in the context of intermunicipal co-operation. Focusing on several counties within our area helps focus on any specificities and analyze whether the methods of collecting and processing household waste vary from one municipality to another, for the reasons mentioned above or whether they are identical; some use Greer dumpster rental, some don't; in short, do household waste treatment methods differ or are they similar depending on the municipality?

Faced with their complexity and importance, it seems essential to conduct a reflection on the evolution of laws and legal regulations relating to waste at two levels: federal and local. These measures, which are becoming imperative and binding to absorb household waste, are a source of problems for local elected officials, due to the increased constraints generated by the political and regulatory framework. The analysis of the different geographical areas, marked by the weight of natural constraints, shows that it is difficult to fully comply, at the local level, with federal regulations. Regarding the laws enacted on the environment, we have mainly relied on three of them in order to emphasize, while having a critical mind, that they only partially respond to the treatment of household waste and that they are of a weak legal nature, to say the least.

In the Paris Agreement, Canada committed to reduce its greenhouse gas emissions by 30% by 2030 from 2005 levels. Even if this target needs to be reviewed in light of climate science, that promise has raised an important question: is Canada on track to meet its GHG emission reduction target? Canada announced in 2019 that it failed to achieve its objective so far. Despite the increase in Toronto dumpster rentals and other waste management and recycling developments, they must assess the progress in this respect on the horizon 2030 and adjust the fire if necessary, using the environmental sustainability indicators that the Government of Canada updates annually. Canada has been publishing projections of its GHG emissions since 2011. The modeling team that develops them has remained largely unchanged over the years and the comparisons are therefore non-partisan.

Exponents due to expire within 14 days
 Exponent Type Bits Iteration Days Date Computer Id Member Run Expiry Updated Assigned 34847321 L 69 11798913 79.3 4.2 03-Dec-05 14-Nov-05 tom1 tom 29501159 L 69 56.3 4.8 07-Dec-05 07-Dec-05 dig008p42400 Digital_Concepts 29488033 L 62 56.3 4.8 07-Dec-05 07-Dec-05 dig008p42400 Digital_Concepts 29333033 L 69 56.3 4.8 07-Dec-05 dig008p42400 Digital_Concepts 29328073 L 62 56.3 4.8 07-Dec-05 dig008p42400 Digital_Concepts 29109229 L 69 56.3 4.8 07-Dec-05 dig008p42400 Digital_Concepts 29066969 L 62 56.3 4.8 07-Dec-05 dig008p42400 Digital_Concepts 29016947 L 67 56.3 4.8 07-Dec-05 dig008p42400 Digital_Concepts 29009719 L 62 56.3 4.8 07-Dec-05 dig008p42400 Digital_Concepts 14851409 D 66 57.6 5.0 07-Dec-05 06-Dec-05 robcreid_wk5 robcreid 30411767 L 69 9913151 99.2 10.1 16-Nov-05 25-Oct-05 Hattie2 Cobi 33894293 L 69 4064191 51.6 11.9 14-Dec-05 12-Dec-05 PM_node_J Prime_Monster 30450269 L 68 15795775 95.5 12.3 15-Dec-05 29-Oct-05 Ridavids6 Ridavids 30736169 L 68 67.5 12.3 15-Dec-05 26-Nov-05 Ridavids6 Ridavids 19161803 L 67 47.8 13.3 16-Dec-05 Annie Annie

Exponents due to complete shortly
 Exponent Type Bits Iteration Days Date Computer Id Member Run ToGo Updated Assigned 14724971 D 66 12245824 121.3 -1.0 30-Jan-06 03-Oct-05 shy24_ex2 shy24 35511233 F 62 11.0 -1.0 22-Jan-06 Tasuke_TMC Tasuke 16014499 D 66 12870527 44.3 -0.4 30-Jan-06 19-Dec-05 jimsters-tf1 jimsters 35619149 F 62 5.9 0.2 29-Jan-06 27-Jan-06 GleanerC_02 GleanerC 15864547 D 66 64.3 0.2 06-Jan-06 29-Nov-05 Tasuke9 Tasuke 14532629 D 66 11779967 9.3 0.2 01-Feb-06 23-Jan-06 Reboot_It311 Reboot_It 35623303 F 62 5.8 0.2 01-Feb-06 27-Jan-06 boxen_01 PageFault 26411419 L 68 24718655 39.6 0.3 31-Jan-06 24-Dec-05 Reboot_It_2K Reboot_It 35503901 F 62 6 11.3 0.4 01-Feb-06 21-Jan-06 DSheets_76b DSheets 35629547 F 62 5.6 0.4 27-Jan-06 whilden_pat2 whilden 35631007 F 62 13 5.5 0.4 01-Feb-06 27-Jan-06 shy24_ul11 shy24 32986321 F 62 5 44.3 0.5 31-Jan-06 19-Dec-05 gioca01 greensinoz 32942227 F 62 11 46.3 0.5 01-Feb-06 17-Dec-05 Tasuke Tasuke 16298797 D 66 14729983 13.8 0.5 01-Feb-06 19-Jan-06 Reboot_It213 Reboot_It 20108111 L 67 96.8 0.5 15-Jan-06 28-Oct-05 Annie Annie 35552921 F 62 4 8.9 0.5 01-Feb-06 24-Jan-06 DSheets_71c DSheets 32886173 F 62 16 48.5 0.5 01-Feb-06 15-Dec-05 maxscribe18 maxscribe 13610161 D 66 9395072 19.8 0.7 31-Jan-06 13-Jan-06 garo_mat garo 13658387 D 66 9098123 122.8 0.7 31-Jan-06 02-Oct-05 garo_laica garo 35565119 F 62 1 8.3 0.7 01-Feb-06 24-Jan-06 DSheets_85b DSheets 31353473 F 62 13 7.8 0.7 01-Feb-06 25-Jan-06 shy24_ul09 shy24 35604707 F 62 14 6.4 0.7 01-Feb-06 26-Jan-06 EM_XP_1900 endlesmike 30236021 L 69 29399168 34.0 0.7 01-Feb-06 29-Dec-05 Ibmuser_01 Ibmuser 35102317 F 62 29.6 0.8 26-Jan-06 03-Jan-06 whilden_lp5 whilden 35512661 F 62 12 10.9 0.8 01-Feb-06 22-Jan-06 DSheets_89a DSheets 33170539 F 62 11 35.0 0.8 01-Feb-06 29-Dec-05 games play 35450851 F 62 13 13.8 0.8 01-Feb-06 19-Jan-06 DSheets_39 DSheets 34532413 L 69 28941625 288.9 0.8 14-Jan-06 19-Apr-05 lucky luck 15038473 D 66 13066155 10.8 0.8 01-Feb-06 22-Jan-06 jackpot winner 15868961 D 66 11538974 64.2 0.8 31-Jan-06 29-Nov-05 robcreid_p4 robcreid 16310689 D 66 15392768 12.4 0.8 01-Feb-06 20-Jan-06 Reboot_It224 Reboot_It 35532389 F 62 9.8 0.8 27-Jan-06 23-Jan-06 Stapes Stapes 35587483 F 62 14 7.5 0.8 01-Feb-06 25-Jan-06 shy24_ul06 shy24 35659243 F 62 4.0 1.0 29-Jan-06 JeffG_P4Chat JeffG 31901341 F 62 8.8 1.0 31-Jan-06 24-Jan-06 99.94_lap 99.94

Exponents assigned within the last day
 Exponent Type Bits Days DateAssigned Computer Id Member Run ToGo 35759939 F 62 0.0 11.0 01-Feb-06 23:54 DSheets_94d DSheets 16411441 D 66 0.0 26.0 01-Feb-06 23:14 DSheets_75a DSheets 16411427 D 66 0.0 16.0 01-Feb-06 23:13 Reboot_It144 Reboot_It 35759219 F 62 0.1 11.9 01-Feb-06 22:32 DSheets_81b DSheets 35747879 F 62 0.5 5.5 01-Feb-06 11:23 whilden_pat2 whilden 35747857 F 62 0.5 2799.0 01-Feb-06 11:23 maxscribe28 maxscribe 35747191 F 62 0.5 7.6 01-Feb-06 11:00 shy24_ul08 shy24 35746741 F 62 0.6 6.8 01-Feb-06 10:29 Tempus2_PRvn Tempus 35746643 F 62 0.6 11.4 01-Feb-06 10:14 DSheets_82b DSheets 31547147 L 68 0.6 28.4 01-Feb-06 10:00 whilden_192 whilden 35746481 F 62 0.6 14.4 01-Feb-06 09:58 DSheets_64 DSheets 35746339 F 62 0.6 14.4 01-Feb-06 09:48 DSheets_64 DSheets 16400641 D 66 0.6 13.7 01-Feb-06 09:28 whilden_146 whilden 35746091 F 62 0.6 7.4 01-Feb-06 09:27 shy24_ul15 shy24 16400389 D 66 0.6 15.7 01-Feb-06 09:05 Reboot_It232 Reboot_It 35733469 F 62 0.7 6.5 01-Feb-06 08:56 bayanne_clv7 bayanne 35745923 F 62 0.7 5.3 01-Feb-06 08:40 bayanne_clv3 bayanne 35745881 F 62 0.7 7.3 01-Feb-06 08:27 shy24_ul21 shy24 35745751 F 62 0.7 2.3 01-Feb-06 08:09 Origami2_3 Origami2 16346513 D 66 0.7 8.8 01-Feb-06 07:39 BenBishop_E1 BenBishop 35737777 F 62 0.7 3.3 01-Feb-06 07:19 pvillecat1 pvillecat 14848091 D 66 0.8 20.8 01-Feb-06 06:29 kmd03 kmd 35711129 F 62 0.8 7.3 01-Feb-06 06:21 XyzzySnyder Xyzzy 35745607 F 62 0.8 10.5 01-Feb-06 06:10 DSheets_71c DSheets 35745571 F 62 0.8 5.6 01-Feb-06 06:07 EM_P4B_2400a endlesmike 16398731 D 66 0.8 10.8 01-Feb-06 06:05 Reboot_It247 Reboot_It 16397933 D 66 0.8 11.9 01-Feb-06 04:41 Reboot_It233 Reboot_It 35744561 F 62 0.8 17.2 01-Feb-06 04:31 jimsters-LT jimsters 35744473 F 62 0.8 4.6 01-Feb-06 04:11 shy24_ul08 shy24 35744329 F 62 0.8 5.2 01-Feb-06 04:09 EM_P4B_2400b endlesmike 35743891 F 62 0.9 11.2 01-Feb-06 03:47 DSheets_89b DSheets 16397287 D 66 0.9 11.7 01-Feb-06 03:43 Reboot_It238 Reboot_It 16397239 D 66 0.9 56.1 01-Feb-06 03:25 shy24_borg shy24 16397033 D 66 0.9 20.1 01-Feb-06 02:53 Hades_au_P4e Hades_au 16396903 D 66 0.9 11.9 01-Feb-06 02:29 Reboot_It206 Reboot_It 32603089 F 67 0.9 8.1 01-Feb-06 02:20 outlnder_001 outlnder 35740637 F 62 1.0 7.6 31-Jan-06 23:06 shy24_ts shy24