What are the first 100 prime numbers?
The first 100 prime numbers are as follows:
2357111317192329
31 37 41 43 47 53 59 61 67 71
73 79 83 89 97 101 103 107 109 113
127 131 137 139 149 151 157 163 167 173
179 181 191 193 197 199 211 223 227 229
233 239 241 251 257 263 269 271 277 281
283 293 307 311 313 317 331 337 347 349
353 359 367 373 379 383 389 397 401 409
419 421 431 433 439 443 449 457 461 463
467 479 487 491 499 503 509 521 523 541Are there differenttypes of prime numbers?
Yes, there are different types of prime numbers, including the following:
Mersenne primes—See the boxed text for an explanation
Twin primes—Primes of the form pand p2 (in other words, they differ by
two); discovering such a prime involves finding two primes.
Factorial/primorial primes—Primorial primes are of the form n#± 1; factori-
al primes are of the form n!±1.Sophie Germain primes—This is an odd prime pfor which 2p1 is also a
prime. It was named after Sophie Germain (1776–1831), who proved that the
first case of Fermat’s Last Theorem for exponents was divisible by such primes.
Other names for prime numbers are mainly for descriptive purposes. For example,
in 1984, mathematician Samuel Yates defined a titanic primeto be any prime with at
least 1,000 digits. In the past few decades since his definition, there have been over a
thousand times more such primes discovered. Yates also coined the term gigantic
primeto indicate a prime with at least 10,000 digits. A great deal has happened in the
last few decades, so it is only a matter of time before the first ten-million-digit prime is
found, although it is still unknown what name that prime number will be given.What is the Fibonacci sequence?
Italian mathematician Leonardo of Pisa (c. 1170–c. 1250; also known as Fibonacci, or
“son of Bonacci,” although some historians say there is no evidence that he or his con-
temporaries ever used the name) may be known for helping to introduce Hindu-Ara-
bic numerals to Europe (see p. 70), but he also is famous for the sequence of numbers
84 he discovered. This sequence—initially pursued as an exercise to determine how fast a