Primes Implications
- 1. 53 2 3 5 7 11 13 17 19 23 29 31 37 4741 43 59 61 67 71 73 79 83 89 97 101 103 107 109 101 113 127 131 137 139 149 151 157 163 167 173 179 181 191 193 197 199 211 223 227 229 233 239 241 251 257 263 269 271 277 397 283 293 307 311 313 317 331 337 347 349 353 359 367 373 379 383 389 281 401 409 419 467 479 487 491 499 503 509 521 523 541 547 557 563 569 571 577 587 593 599 601 607 613 617 619 631 641 643 647 653 659 661 673 677 683 691 701 719 727 733 739 743 751 761 769 773 787
- 2. Modern Implications • Prime numbers have taken center stage in our world of commerce • Fermat’s Little Theorem used for encryption of credit card numbers and passwords • Can construct the code to encrypt the card but the math is not developed to decode
- 3. 100-digit Prime Used to Encrypt Credit Cards 2074722246773485207821695222107608 5874809964747211172927529925899121 96684750549658310084416732550077
- 4. If someone is able to figure out how to decode these large prime numbers, then our world of electronic commerce will come to a stand still. The government, the banking industry and high tech companies are employing mathematicians to help keep our commerce safe.
- 5. Ulam’s Spiral •The Ulam spiral is a method of graphing prime numbers, revealing a pattern that has not yet been fully explained. It was discovered by the mathematician Stanislaw Ulam in 1963, while doodling during a scientific meeting. •Color in the prime numbers