Fünfeckszahlen (Pentagonalzahlen)

Einleitung

Eine Fünfeckszahl, die auch als Pentagonalzahl bezeichnen wird, leitet sich von der geometrischen Figur des Fünfecks ab.
Man zählt sie zusammen mit den Dreieckszahlen, Quadratzahlen und Sechseckszahlen zur Klasse der Polygonalzahlen.

Formel

Man kann allgemein jede Fünfeckszahl einer natürliche Zahl n mit folgender Formel berechnen:
Formel für eine Fünfeckszahl n

Beispiel:
Beispiel einer Berechnung der Fünfeckszahl von 5

Inhaltsverzeichnis

 

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Fünfeckszahl von 0

Hier finden Sie die Fünfeckszahl von 0.
Bei einigen Autoren ist die Null keine Fünfeckszahl, sodass die Zahlenfolge erst mit der Eins beginnt.

f0 = 0

 

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Fünfeckszahlen von 1 bis 100

Hier finden Sie eine Liste der Fünfeckszahlen von 1 bis 100.

f1 → f10 f1 = 1f2 = 5f3 = 12f4 = 22f5 = 35f6 = 51f7 = 70f8 = 92f9 = 117f10 = 145
f11 → f20 f11 = 176f12 = 210f13 = 247f14 = 287f15 = 330f16 = 376f17 = 425f18 = 477f19 = 532f20 = 590
f21 → f30 f21 = 651f22 = 715f23 = 782f24 = 852f25 = 925f26 = 1001f27 = 1080f28 = 1162f29 = 1247f30 = 1335
f31 → f40 f31 = 1426f32 = 1520f33 = 1617f34 = 1717f35 = 1820f36 = 1926f37 = 2035f38 = 2147f39 = 2262f40 = 2380
f41 → f50 f41 = 2501f42 = 2625f43 = 2752f44 = 2882f45 = 3015f46 = 3151f47 = 3290f48 = 3432f49 = 3577f50 = 3725
f51 → f60 f51 = 3876f52 = 4030f53 = 4187f54 = 4347f55 = 4510f56 = 4676f57 = 4845f58 = 5017f59 = 5192f60 = 5370
f61 → f70 f61 = 5551f62 = 5735f63 = 5922f64 = 6112f65 = 6305f66 = 6501f67 = 6700f68 = 6902f69 = 7107f70 = 7315
f71 → f80 f71 = 7526f72 = 7740f73 = 7957f74 = 8177f75 = 8400f76 = 8626f77 = 8855f78 = 9087f79 = 9322f80 = 9560
f81 → f90 f81 = 9801f82 = 10045f83 = 10292f84 = 10542f85 = 10795f86 = 11051f87 = 11310f88 = 11572f89 = 11837f90 = 12105
f91 → f100 f91 = 12376f92 = 12650f93 = 12927f94 = 13207f95 = 13490f96 = 13776f97 = 14065f98 = 14357f99 = 14652f100 = 14950

 

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Fünfeckszahlen von 101 bis 200

Hier finden Sie eine Liste der Fünfeckszahlen von 101 bis 200.

f101 → f110 f101 = 15251f102 = 15555f103 = 15862f104 = 16172f105 = 16485f106 = 16801f107 = 17120f108 = 17442f109 = 17767f110 = 18095
f111 → f120 f111 = 18426f112 = 18760f113 = 19097f114 = 19437f115 = 19780f116 = 20126f117 = 20475f118 = 20827f119 = 21182f120 = 21540
f121 → f130 f121 = 21901f122 = 22265f123 = 22632f124 = 23002f125 = 23375f126 = 23751f127 = 24130f128 = 24512f129 = 24897f130 = 25285
f131 → f140 f131 = 25676f132 = 26070f133 = 26467f134 = 26867f135 = 27270f136 = 27676f137 = 28085f138 = 28497f139 = 28912f140 = 29330
f141 → f150 f141 = 29751f142 = 30175f143 = 30602f144 = 31032f145 = 31465f146 = 31901f147 = 32340f148 = 32782f149 = 33227f150 = 33675
f151 → f160 f151 = 34126f152 = 34580f153 = 35037f154 = 35497f155 = 35960f156 = 36426f157 = 36895f158 = 37367f159 = 37842f160 = 38320
f161 → f170 f161 = 38801f162 = 39285f163 = 39772f164 = 40262f165 = 40755f166 = 41251f167 = 41750f168 = 42252f169 = 42757f170 = 43265
f171 → f180 f171 = 43776f172 = 44290f173 = 44807f174 = 45327f175 = 45850f176 = 46376f177 = 46905f178 = 47437f179 = 47972f180 = 48510
f181 → f190 f181 = 49051f182 = 49595f183 = 50142f184 = 50692f185 = 51245f186 = 51801f187 = 52360f188 = 52922f189 = 53487f190 = 54055
f191 → f200 f191 = 54626f192 = 55200f193 = 55777f194 = 56357f195 = 56940f196 = 57526f197 = 58115f198 = 58707f199 = 59302f200 = 59900

 

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Fünfeckszahlen von 201 bis 300

Hier finden Sie eine Liste der Fünfeckszahlen von 201 bis 300.

f201 → f210 f201 = 60501f202 = 61105f203 = 61712f204 = 62322f205 = 62935f206 = 63551f207 = 64170f208 = 64792f209 = 65417f210 = 66045
f211 → f220 f211 = 66676f212 = 67310f213 = 67947f214 = 68587f215 = 69230f216 = 69876f217 = 70525f218 = 71177f219 = 71832f220 = 72490
f221 → f230 f221 = 73151f222 = 73815f223 = 74482f224 = 75152f225 = 75825f226 = 76501f227 = 77180f228 = 77862f229 = 78547f230 = 79235
f231 → f240 f231 = 79926f232 = 80620f233 = 81317f234 = 82017f235 = 82720f236 = 83426f237 = 84135f238 = 84847f239 = 85562f240 = 86280
f241 → f250 f241 = 87001f242 = 87725f243 = 88452f244 = 89182f245 = 89915f246 = 90651f247 = 91390f248 = 92132f249 = 92877f250 = 93625
f251 → f260 f251 = 94376f252 = 95130f253 = 95887f254 = 96647f255 = 97410f256 = 98176f257 = 98945f258 = 99717f259 = 100492f260 = 101270
f261 → f270 f261 = 102051f262 = 102835f263 = 103622f264 = 104412f265 = 105205f266 = 106001f267 = 106800f268 = 107602f269 = 108407f270 = 109215
f271 → f280 f271 = 110026f272 = 110840f273 = 111657f274 = 112477f275 = 113300f276 = 114126f277 = 114955f278 = 115787f279 = 116622f280 = 117460
f281 → f290 f281 = 118301f282 = 119145f283 = 119992f284 = 120842f285 = 121695f286 = 122551f287 = 123410f288 = 124272f289 = 125137f290 = 126005
f291 → f300 f291 = 126876f292 = 127750f293 = 128627f294 = 129507f295 = 130390f296 = 131276f297 = 132165f298 = 133057f299 = 133952f300 = 134850

 

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Fünfeckszahlen von 301 bis 400

Hier finden Sie eine Liste der Fünfeckszahlen von 301 bis 400.

f301 → f310 f301 = 135751f302 = 136655f303 = 137562f304 = 138472f305 = 139385f306 = 140301f307 = 141220f308 = 142142f309 = 143067f310 = 143995
f311 → f320 f311 = 144926f312 = 145860f313 = 146797f314 = 147737f315 = 148680f316 = 149626f317 = 150575f318 = 151527f319 = 152482f320 = 153440
f321 → f330 f321 = 154401f322 = 155365f323 = 156332f324 = 157302f325 = 158275f326 = 159251f327 = 160230f328 = 161212f329 = 162197f330 = 163185
f331 → f340 f331 = 164176f332 = 165170f333 = 166167f334 = 167167f335 = 168170f336 = 169176f337 = 170185f338 = 171197f339 = 172212f340 = 173230
f341 → f350 f341 = 174251f342 = 175275f343 = 176302f344 = 177332f345 = 178365f346 = 179401f347 = 180440f348 = 181482f349 = 182527f350 = 183575
f351 → f360 f351 = 184626f352 = 185680f353 = 186737f354 = 187797f355 = 188860f356 = 189926f357 = 190995f358 = 192067f359 = 193142f360 = 194220
f361 → f370 f361 = 195301f362 = 196385f363 = 197472f364 = 198562f365 = 199655f366 = 200751f367 = 201850f368 = 202952f369 = 204057f370 = 205165
f371 → f380 f371 = 206276f372 = 207390f373 = 208507f374 = 209627f375 = 210750f376 = 211876f377 = 213005f378 = 214137f379 = 215272f380 = 216410
f381 → f390 f381 = 217551f382 = 218695f383 = 219842f384 = 220992f385 = 222145f386 = 223301f387 = 224460f388 = 225622f389 = 226787f390 = 227955
f391 → f400 f391 = 229126f392 = 230300f393 = 231477f394 = 232657f395 = 233840f396 = 235026f397 = 236215f398 = 237407f399 = 238602f400 = 239800

 

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Fünfeckszahlen von 401 bis 500

Hier finden Sie eine Liste der Fünfeckszahlen von 401 bis 500.

f401 → f410 f401 = 241001f402 = 242205f403 = 243412f404 = 244622f405 = 245835f406 = 247051f407 = 248270f408 = 249492f409 = 250717f410 = 251945
f411 → f420 f411 = 253176f412 = 254410f413 = 255647f414 = 256887f415 = 258130f416 = 259376f417 = 260625f418 = 261877f419 = 263132f420 = 264390
f421 → f430 f421 = 265651f422 = 266915f423 = 268182f424 = 269452f425 = 270725f426 = 272001f427 = 273280f428 = 274562f429 = 275847f430 = 277135
f431 → f440 f431 = 278426f432 = 279720f433 = 281017f434 = 282317f435 = 283620f436 = 284926f437 = 286235f438 = 287547f439 = 288862f440 = 290180
f441 → f450 f441 = 291501f442 = 292825f443 = 294152f444 = 295482f445 = 296815f446 = 298151f447 = 299490f448 = 300832f449 = 302177f450 = 303525
f451 → f460 f451 = 304876f452 = 306230f453 = 307587f454 = 308947f455 = 310310f456 = 311676f457 = 313045f458 = 314417f459 = 315792f460 = 317170
f461 → f470 f461 = 318551f462 = 319935f463 = 321322f464 = 322712f465 = 324105f466 = 325501f467 = 326900f468 = 328302f469 = 329707f470 = 331115
f471 → f480 f471 = 332526f472 = 333940f473 = 335357f474 = 336777f475 = 338200f476 = 339626f477 = 341055f478 = 342487f479 = 343922f480 = 345360
f481 → f490 f481 = 346801f482 = 348245f483 = 349692f484 = 351142f485 = 352595f486 = 354051f487 = 355510f488 = 356972f489 = 358437f490 = 359905
f491 → f500 f491 = 361376f492 = 362850f493 = 364327f494 = 365807f495 = 367290f496 = 368776f497 = 370265f498 = 371757f499 = 373252f500 = 374750

 

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Fünfeckszahlen von 501 bis 600

Hier finden Sie eine Liste der Fünfeckszahlen von 501 bis 600.

f501 → f510 f501 = 376251f502 = 377755f503 = 379262f504 = 380772f505 = 382285f506 = 383801f507 = 385320f508 = 386842f509 = 388367f510 = 389895
f511 → f520 f511 = 391426f512 = 392960f513 = 394497f514 = 396037f515 = 397580f516 = 399126f517 = 400675f518 = 402227f519 = 403782f520 = 405340
f521 → f530 f521 = 406901f522 = 408465f523 = 410032f524 = 411602f525 = 413175f526 = 414751f527 = 416330f528 = 417912f529 = 419497f530 = 421085
f531 → f540 f531 = 422676f532 = 424270f533 = 425867f534 = 427467f535 = 429070f536 = 430676f537 = 432285f538 = 433897f539 = 435512f540 = 437130
f541 → f550 f541 = 438751f542 = 440375f543 = 442002f544 = 443632f545 = 445265f546 = 446901f547 = 448540f548 = 450182f549 = 451827f550 = 453475
f551 → f560 f551 = 455126f552 = 456780f553 = 458437f554 = 460097f555 = 461760f556 = 463426f557 = 465095f558 = 466767f559 = 468442f560 = 470120
f561 → f570 f561 = 471801f562 = 473485f563 = 475172f564 = 476862f565 = 478555f566 = 480251f567 = 481950f568 = 483652f569 = 485357f570 = 487065
f571 → f580 f571 = 488776f572 = 490490f573 = 492207f574 = 493927f575 = 495650f576 = 497376f577 = 499105f578 = 500837f579 = 502572f580 = 504310
f581 → f590 f581 = 506051f582 = 507795f583 = 509542f584 = 511292f585 = 513045f586 = 514801f587 = 516560f588 = 518322f589 = 520087f590 = 521855
f591 → f600 f591 = 523626f592 = 525400f593 = 527177f594 = 528957f595 = 530740f596 = 532526f597 = 534315f598 = 536107f599 = 537902f600 = 539700

 

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Fünfeckszahlen von 601 bis 700

Hier finden Sie eine Liste der Fünfeckszahlen von 601 bis 700.

f601 → f610 f601 = 541501f602 = 543305f603 = 545112f604 = 546922f605 = 548735f606 = 550551f607 = 552370f608 = 554192f609 = 556017f610 = 557845
f611 → f620 f611 = 559676f612 = 561510f613 = 563347f614 = 565187f615 = 567030f616 = 568876f617 = 570725f618 = 572577f619 = 574432f620 = 576290
f621 → f630 f621 = 578151f622 = 580015f623 = 581882f624 = 583752f625 = 585625f626 = 587501f627 = 589380f628 = 591262f629 = 593147f630 = 595035
f631 → f640 f631 = 596926f632 = 598820f633 = 600717f634 = 602617f635 = 604520f636 = 606426f637 = 608335f638 = 610247f639 = 612162f640 = 614080
f641 → f650 f641 = 616001f642 = 617925f643 = 619852f644 = 621782f645 = 623715f646 = 625651f647 = 627590f648 = 629532f649 = 631477f650 = 633425
f651 → f660 f651 = 635376f652 = 637330f653 = 639287f654 = 641247f655 = 643210f656 = 645176f657 = 647145f658 = 649117f659 = 651092f660 = 653070
f661 → f670 f661 = 655051f662 = 657035f663 = 659022f664 = 661012f665 = 663005f666 = 665001f667 = 667000f668 = 669002f669 = 671007f670 = 673015
f671 → f680 f671 = 675026f672 = 677040f673 = 679057f674 = 681077f675 = 683100f676 = 685126f677 = 687155f678 = 689187f679 = 691222f680 = 693260
f681 → f690 f681 = 695301f682 = 697345f683 = 699392f684 = 701442f685 = 703495f686 = 705551f687 = 707610f688 = 709672f689 = 711737f690 = 713805
f691 → f700 f691 = 715876f692 = 717950f693 = 720027f694 = 722107f695 = 724190f696 = 726276f697 = 728365f698 = 730457f699 = 732552f700 = 734650

 

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Fünfeckszahlen von 701 bis 800

Hier finden Sie eine Liste der Fünfeckszahlen von 701 bis 800.

f701 → f710 f701 = 736751f702 = 738855f703 = 740962f704 = 743072f705 = 745185f706 = 747301f707 = 749420f708 = 751542f709 = 753667f710 = 755795
f711 → f720 f711 = 757926f712 = 760060f713 = 762197f714 = 764337f715 = 766480f716 = 768626f717 = 770775f718 = 772927f719 = 775082f720 = 777240
f721 → f730 f721 = 779401f722 = 781565f723 = 783732f724 = 785902f725 = 788075f726 = 790251f727 = 792430f728 = 794612f729 = 796797f730 = 798985
f731 → f740 f731 = 801176f732 = 803370f733 = 805567f734 = 807767f735 = 809970f736 = 812176f737 = 814385f738 = 816597f739 = 818812f740 = 821030
f741 → f750 f741 = 823251f742 = 825475f743 = 827702f744 = 829932f745 = 832165f746 = 834401f747 = 836640f748 = 838882f749 = 841127f750 = 843375
f751 → f760 f751 = 845626f752 = 847880f753 = 850137f754 = 852397f755 = 854660f756 = 856926f757 = 859195f758 = 861467f759 = 863742f760 = 866020
f761 → f770 f761 = 868301f762 = 870585f763 = 872872f764 = 875162f765 = 877455f766 = 879751f767 = 882050f768 = 884352f769 = 886657f770 = 888965
f771 → f780 f771 = 891276f772 = 893590f773 = 895907f774 = 898227f775 = 900550f776 = 902876f777 = 905205f778 = 907537f779 = 909872f780 = 912210
f781 → f790 f781 = 914551f782 = 916895f783 = 919242f784 = 921592f785 = 923945f786 = 926301f787 = 928660f788 = 931022f789 = 933387f790 = 935755
f791 → f800 f791 = 938126f792 = 940500f793 = 942877f794 = 945257f795 = 947640f796 = 950026f797 = 952415f798 = 954807f799 = 957202f800 = 959600

 

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Fünfeckszahlen von 801 bis 900

Hier finden Sie eine Liste der Fünfeckszahlen von 801 bis 900.

f801 → f810 f801 = 962001f802 = 964405f803 = 966812f804 = 969222f805 = 971635f806 = 974051f807 = 976470f808 = 978892f809 = 981317f810 = 983745
f811 → f820 f811 = 986176f812 = 988610f813 = 991047f814 = 993487f815 = 995930f816 = 998376f817 = 1000825f818 = 1003277f819 = 1005732f820 = 1008190
f821 → f830 f821 = 1010651f822 = 1013115f823 = 1015582f824 = 1018052f825 = 1020525f826 = 1023001f827 = 1025480f828 = 1027962f829 = 1030447f830 = 1032935
f831 → f840 f831 = 1035426f832 = 1037920f833 = 1040417f834 = 1042917f835 = 1045420f836 = 1047926f837 = 1050435f838 = 1052947f839 = 1055462f840 = 1057980
f841 → f850 f841 = 1060501f842 = 1063025f843 = 1065552f844 = 1068082f845 = 1070615f846 = 1073151f847 = 1075690f848 = 1078232f849 = 1080777f850 = 1083325
f851 → f860 f851 = 1085876f852 = 1088430f853 = 1090987f854 = 1093547f855 = 1096110f856 = 1098676f857 = 1101245f858 = 1103817f859 = 1106392f860 = 1108970
f861 → f870 f861 = 1111551f862 = 1114135f863 = 1116722f864 = 1119312f865 = 1121905f866 = 1124501f867 = 1127100f868 = 1129702f869 = 1132307f870 = 1134915
f871 → f880 f871 = 1137526f872 = 1140140f873 = 1142757f874 = 1145377f875 = 1148000f876 = 1150626f877 = 1153255f878 = 1155887f879 = 1158522f880 = 1161160
f881 → f890 f881 = 1163801f882 = 1166445f883 = 1169092f884 = 1171742f885 = 1174395f886 = 1177051f887 = 1179710f888 = 1182372f889 = 1185037f890 = 1187705
f891 → f900 f891 = 1190376f892 = 1193050f893 = 1195727f894 = 1198407f895 = 1201090f896 = 1203776f897 = 1206465f898 = 1209157f899 = 1211852f900 = 1214550

 

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Fünfeckszahlen von 901 bis 1000

Hier finden Sie eine Liste der Fünfeckszahlen von 901 bis 1000.

f901 → f910 f901 = 1217251f902 = 1219955f903 = 1222662f904 = 1225372f905 = 1228085f906 = 1230801f907 = 1233520f908 = 1236242f909 = 1238967f910 = 1241695
f911 → f920 f911 = 1244426f912 = 1247160f913 = 1249897f914 = 1252637f915 = 1255380f916 = 1258126f917 = 1260875f918 = 1263627f919 = 1266382f920 = 1269140
f921 → f930 f921 = 1271901f922 = 1274665f923 = 1277432f924 = 1280202f925 = 1282975f926 = 1285751f927 = 1288530f928 = 1291312f929 = 1294097f930 = 1296885
f931 → f940 f931 = 1299676f932 = 1302470f933 = 1305267f934 = 1308067f935 = 1310870f936 = 1313676f937 = 1316485f938 = 1319297f939 = 1322112f940 = 1324930
f941 → f950 f941 = 1327751f942 = 1330575f943 = 1333402f944 = 1336232f945 = 1339065f946 = 1341901f947 = 1344740f948 = 1347582f949 = 1350427f950 = 1353275
f951 → f960 f951 = 1356126f952 = 1358980f953 = 1361837f954 = 1364697f955 = 1367560f956 = 1370426f957 = 1373295f958 = 1376167f959 = 1379042f960 = 1381920
f961 → f970 f961 = 1384801f962 = 1387685f963 = 1390572f964 = 1393462f965 = 1396355f966 = 1399251f967 = 1402150f968 = 1405052f969 = 1407957f970 = 1410865
f971 → f980 f971 = 1413776f972 = 1416690f973 = 1419607f974 = 1422527f975 = 1425450f976 = 1428376f977 = 1431305f978 = 1434237f979 = 1437172f980 = 1440110
f981 → f990 f981 = 1443051f982 = 1445995f983 = 1448942f984 = 1451892f985 = 1454845f986 = 1457801f987 = 1460760f988 = 1463722f989 = 1466687f990 = 1469655
f991 → f1000 f991 = 1472626f992 = 1475600f993 = 1478577f994 = 1481557f995 = 1484540f996 = 1487526f997 = 1490515f998 = 1493507f999 = 1496502f1000 = 1499500
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