| Prime_Music A musical piece translating prime factorizations to frequencies. Requires RealPlayer. |
| Prime_Numbers Short lesson. |
| Prime_Numbers_and_Factoring Links and references related to primes and factoring. |
| Prime_Numbers_List Browse all prime numbers of less than 10 digits. A prime number checker facility is also included. |
| The_Prime_Page Methods and definitions of finding prime numbers. |
| Radiant_Primes Visualization of prime numbers resembling an astronomical radiant or celestial pathway. |
| Some_Prime_Numbers Sieves and factoring for small numbers. Download primes below 8 billion. |
| Status_of_Search_for_Multifactorial_Primes An organized search for primes of the form (n)(n-k)(n-2k)...+/-1. Includes table of numbers searched and primes found. |
| Thomas_R__Nicely Includes twin prime counts, tables of first occurrence prime gaps, papers. |
| The_Time_Traveler A group with new propositions in various areas of number theory. |
| Visualizing_the_Distribution_of_Prime_Numbers Investigation into patterns in the distribution of the primes by visualizing them. |
| Wikipedia__Prime_Numbers Index to many prime-related articles. |
| World_of_Numbers__World_of_Palindromic_Primes Records, statistics, curios and puzzles about primes reading the same backwards. Compiled by Patrick De Geest. |
| Bipeds_and_Prime_Numbers Graduation address by former professor of philosophy Garrett Barden. Mentions primes as sign of human curiosity. (September 18, 2001) |
| Chair_of_General_Chemistry,_Altai_State_Technical_University Describes scientific work and educational programs, lists group publications. |
| Department_of_Chemistry Contains online course material and lists faculty members. |
| Earth_Measurement_Corp_ Near-surface geophysical data acquisition, processing and interpretation. |
| Electro-Seise,_Inc_ 3D airborne micro gravity/E surveys for subsurface hydrocarbons. |
| Fairfield_Industries_Incorporated Fairfield is a geophysical company known for its development and use of advanced technology for acquisition and processing, and its licensing of seismic data. |
| G_A__Ryzhikov_and_M_S__Biryulina,_Consultants Special processing for traditional marine data using "Partial Synergetic Imaging-", or PSI-criterion. |
| Getech Geophysical contractor providing gravity and magnetic services and products to the international oil and mining industry. Offices in Leeds and Houston. |
| Gibson_Consulting Interpretation of gravity & magnetics for hydrocarbon exploration. |
| Input_Output,_Inc_ Provider of land, marine and reservoir seismic instrumentation. Includes comprehensive data sheets. |
| Interactive_Interpretation_&_Training,_Inc_ Outsourcing geoscience for the upstream petroleum industry: geophysics, geology, petroleum engineering, geochemistry, workstation rental. Landmark and GeoQuest software. |
| JGI,_Inc_ Acquisition of seismic and other geophysical data, geothermal surveys and remote sensing. Japan based. |
| Meridian_Surveys Survey and geophysical consultants to the oil and gas industry. |
| Montason_Exploration_Inc_ Geophysical acquisition, processing and interpretation. Electromagnetic technology produces virtual subsurface conductivity log. |
| Oilsearch_Plc_-_Airborne_Geophysical_Oil_Survey_Company Airborne geophysical oil survey company specialising in remote fluorescence sensing and magnetic data recovery. |
| PGS_Geophysical Onshore and marine seismic acquisition and analysis. Reservoir imaging, characterization and monitoring. Multiclient 3D data library. |
| Reid_Geophysics Offering gravity and magnetic survey specification, processing and interpretation. Proprietary software. |
| RGR__Method_of_Effective_Specular_Points A novel approach to Reflector Geometry Reconstruction: proper assimilation of prestacked multioffset traveltimes, macro-model-independent seismic reflection (depth) imaging. |
| Seismic_Consultants_Group_Pty__Ltd_ Seismic Consultants Group (SCG) provides personnel for field supervision and quality control of geophysical surveys to the oil and gas exploration industry worldwide |
| Seismic_Imaging_Research Research reports on subsalt imaging, depth migration, velocity model building, seismic modeling, converted mode energy and overpressure prediction. |
| SeismicDocs Online professional geophysical consulting service. |
| Seismograph_Rental_,_seismic_tomography_services Passive seismic tomography services for oil exploration. Seismograph and vibroseis rental. Pipeline pollution early warning systems. Seismological investigations. Crosshole seismic tomography. |
| Seistronix_RAS-24_Exploration_Seismograph Seistronix manufactures, leases and sells exploration seismographs and related geophysical equipment for oil, gas, mineral and general geotechnical exploration using seismic refraction, 2D and 3D seis |
| Sharp_Deconvolution_in_P-tau_Domain Elimination of intrabed multiples: SoSI-inversion. Site shows a novel approach to the comprehensive elimination of multiples -including intrabed ones. It is based on recursive representation of Born s |
| Signature_Seismic_Processing_Inc_ 2D and 3D seismic data processing services for both land and marine datasets. |
| Society_of_Exploration_Geophysicists Home page of the SEG, which hosts 2 monthly publications- The Leading Edge and the SEG Journal, and yearly trade shows, at the international, national, and regional level. The major organization for g |
| Sources_of_Seismic_Interpretation_Error Powerpoint presentations illustrating common reasons for interpretation error. Free viewer available from site. |
1. Introduction 2. Product curves 3. Offset curves4. Factors on product curves 5. Quadratic functions 6. Composite offset curves7. Primes 8. Factor curves 9. Formulas 10. Glossary
Figure 1
If we continue winding for a while and zoom out a bit, the result looks like this:
Figure 2
Vortex
Figure 4
The primes seem to cluster along certain curves. Let's zoom out even further to get a better look. The following number spiral shows all the primes that occur within the first 46,656 non-negative integers. (For clarity, non-primes have been left out.)
Details
where theta is the angle measured in rotations, not radians or degrees. One rotation equals 360 degrees.
Unless otherwise noted, all angles on this website are measured in rotations. The reason for this will become clear as we go on.
For more information about the formulas used to generate graphics on this website, see formulas.
