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79 (number)

From Wikipedia, the free encyclopedia

Natural number

79

←70 71 72 73 74 75 76 77 78 79 →

←0 10 20 30 40 50 60 70 80 90 →

seventy-nine

79th
(seventy-ninth)

22nd

1, 79

ΟΘ´

LXXIX,lxxix

1001111₂

2221₃

211₆

117₈

67₁₂

4F₁₆

79 (seventy-nine) is thenatural number following78 and preceding80.

In mathematics

79 is:

Anodd number.
The smallest number that can not be represented as a sum of fewer than 19fourth powers.
The 22ndprime number (between73 and83)
An isolated prime without atwin prime, as 77 and 81 are composite.^[1]
The smallest prime numberp for which thereal quadratic fieldQ[√p] hasclass number greater than 1 (namely 3).^[2]
Acousin prime with 83.
Anemirp inbase 10, because the reverse of 79,97, is also a prime.^[3]
AFortunate prime.^[4]
Acircular prime.^[5]
A prime number that is also aGaussian prime (since it is of the form4n + 3).
Ahappy prime.^[6]
AHiggs prime.^[7]
Alucky prime.^[8]
Apermutable prime, withninety-seven.
APillai prime,^[9] because 23! + 1 isdivisible by 79, but 79 is not one more than amultiple of23.
Aregular prime.^[10]
Aright-truncatable prime, because when the last digit (9) is removed, the remaining number (7) is still prime.
Asexy prime (with73).
Then value of theWagstaff prime 201487636602438195784363.
Similarly to how the decimal expansion of 1/89 gives Fibonacci numbers, 1/79 givesPell numbers, that is, ${\frac {1}{79}}=\sum _{n=1}^{\infty }{P(n)\times 10^{-(n+1)}}=0.0126582278\dots \ .$
ALeyland number of the second kind^[11] andLeyland prime of the second kind,^[12] using 2 & 7 ( $2^{7}-7^{2}$ )

Signage for table 79 at a restaurant

References

^Sloane, N. J. A. (ed.)."Sequence A007510 (Single (or isolated or non-twin) primes: Primes p such that neither p-2 nor p+2 is prime.)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2022-12-05.
^H. Cohen,A Course in Computational Algebraic Number Theory, GTM 138, Springer Verlag (1993), Appendix B2, p.507. The table lists fields bydiscriminant, which is 4p forQ[√p] whenp iscongruent to 3 modulo 4, as is the case for 79, so the entry appears at discriminant 316.
^"Sloane's A006567 : Emirps".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-05-29.
^"Sloane's A046066 : Fortunate primes".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-05-29.
^Numbers such that every cyclic permutation is a prime.
^"Sloane's A035497 : Happy primes".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-05-29.
^"Sloane's A007459 : Higgs' primes".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-05-29.
^"Sloane's A031157 : Numbers that are both lucky and prime".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-05-29.
^"Sloane's A063980 : Pillai primes".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-05-29.
^"Sloane's A007703 : Regular primes".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-05-29.
^Sloane, N. J. A. (ed.)."Sequence A045575 (Leyland numbers of the second kind)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^Sloane, N. J. A. (ed.)."Sequence A123206 (Leyland prime numbers of the second kind)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.

External links

Media related to79 (number) at Wikimedia Commons

v
t
e

\mathbb {Z}

−2,−1

0 to 199

0 to 99	100 to 199
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99	100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199

200 to 399

200 to 299	300 to 399
200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299	300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 318 323 325 341 353 359 360 363 365 369 377 384

400 to 999

400s, 500s, and 600s	700s, 800s, and 900s
400 420 440 495 496 500 501 511 512 555 600 610 613 616 666 693	700 720 743 744 777 786 800 801 836 840 880 881 888 900 911 971 987 999

1000s and 10,000s
1000s	1000 1001 1023 1024 1089 1093 1105 1234 1289 1458 1510 1728 1729 1980 1987 2000 2520 3000 3511 4000 5000 5040 6000 6174 7000 7744 7825 8000 8128 8192 9000 9855 9999
10,000s	10,000 16,807 20,000 30,000 40,000 50,000 60,000 64,079 65,535 65,536 65,537 70,000 80,000 90,000

100,000s to 10,000,000,000,000s
100,000 142,857 144,000 1,000,000 10,000,000 43,112,609 100,000,000 1,000,000,000 2,147,483,647 4,294,967,295 10,000,000,000 100,000,000,000 1,000,000,000,000 10,000,000,000,000

Large numbers

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Integers

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