Zentrierte Quadratzahlen

Einleitung

Eine zentrierten Quadratzahl sind Zahl, die die Summe zweier aufeinanderfolgender Quadratzahlen ist. Zum Beispiel ist ist 25 = 9 + 16 = 3² + 4² eine zentrierte Quadratzahl.
Man zählt sie zusammen mit den zentrierten Dreieckszahlen , zentrierten Fünfeckszahlen und zentrierten Sechseckszahlen zu den zentrierten Polygonalzahlen.

Formel

Man kann allgemein jede zentrierte Quadratzahl einer natürliche Zahl n mit folgender Formel berechnen.

Formel für eine zentrierte Quadratzahl n

Beispiel:
Beispiel einer Berechnung der zentrierten Quadratzahl von 5

Verzeichnis

 

Zentrierte Quadratzahl von 0


Hier finden Sie die zentrierte Quadratzahl von 0.

zq0 = 1

 

Zentrierte Quadratzahlen von 1 bis 100


Hier finden Sie eine Liste der zentrierten Quadratzahlen von 1 bis 100.

zq1 → zq10 zq1 = 5zq2 = 13zq3 = 25zq4 = 41zq5 = 61zq6 = 85zq7 = 113zq8 = 145zq9 = 181zq10 = 221
zq11 → zq20 zq11 = 265zq12 = 313zq13 = 365zq14 = 421zq15 = 481zq16 = 545zq17 = 613zq18 = 685zq19 = 761zq20 = 841
zq21 → zq30 zq21 = 925zq22 = 1013zq23 = 1105zq24 = 1201zq25 = 1301zq26 = 1405zq27 = 1513zq28 = 1625zq29 = 1741zq30 = 1861
zq31 → zq40 zq31 = 1985zq32 = 2113zq33 = 2245zq34 = 2381zq35 = 2521zq36 = 2665zq37 = 2813zq38 = 2965zq39 = 3121zq40 = 3281
zq41 → zq50 zq41 = 3445zq42 = 3613zq43 = 3785zq44 = 3961zq45 = 4141zq46 = 4325zq47 = 4513zq48 = 4705zq49 = 4901zq50 = 5101
zq51 → zq60 zq51 = 5305zq52 = 5513zq53 = 5725zq54 = 5941zq55 = 6161zq56 = 6385zq57 = 6613zq58 = 6845zq59 = 7081zq60 = 7321
zq61 → zq70 zq61 = 7565zq62 = 7813zq63 = 8065zq64 = 8321zq65 = 8581zq66 = 8845zq67 = 9113zq68 = 9385zq69 = 9661zq70 = 9941
zq71 → zq80 zq71 = 10225zq72 = 10513zq73 = 10805zq74 = 11101zq75 = 11401zq76 = 11705zq77 = 12013zq78 = 12325zq79 = 12641zq80 = 12961
zq81 → zq90 zq81 = 13285zq82 = 13613zq83 = 13945zq84 = 14281zq85 = 14621zq86 = 14965zq87 = 15313zq88 = 15665zq89 = 16021zq90 = 16381
zq91 → zq100 zq91 = 16745zq92 = 17113zq93 = 17485zq94 = 17861zq95 = 18241zq96 = 18625zq97 = 19013zq98 = 19405zq99 = 19801zq100 = 20201

 

Zentrierte Quadratzahlen von 101 bis 200


Hier finden Sie eine Liste der zentrierten Quadratzahlen von 101 bis 200.

zq101 → zq110 zq101 = 20605zq102 = 21013zq103 = 21425zq104 = 21841zq105 = 22261zq106 = 22685zq107 = 23113zq108 = 23545zq109 = 23981zq110 = 24421
zq111 → zq120 zq111 = 24865zq112 = 25313zq113 = 25765zq114 = 26221zq115 = 26681zq116 = 27145zq117 = 27613zq118 = 28085zq119 = 28561zq120 = 29041
zq121 → zq130 zq121 = 29525zq122 = 30013zq123 = 30505zq124 = 31001zq125 = 31501zq126 = 32005zq127 = 32513zq128 = 33025zq129 = 33541zq130 = 34061
zq131 → zq140 zq131 = 34585zq132 = 35113zq133 = 35645zq134 = 36181zq135 = 36721zq136 = 37265zq137 = 37813zq138 = 38365zq139 = 38921zq140 = 39481
zq141 → zq150 zq141 = 40045zq142 = 40613zq143 = 41185zq144 = 41761zq145 = 42341zq146 = 42925zq147 = 43513zq148 = 44105zq149 = 44701zq150 = 45301
zq151 → zq160 zq151 = 45905zq152 = 46513zq153 = 47125zq154 = 47741zq155 = 48361zq156 = 48985zq157 = 49613zq158 = 50245zq159 = 50881zq160 = 51521
zq161 → zq170 zq161 = 52165zq162 = 52813zq163 = 53465zq164 = 54121zq165 = 54781zq166 = 55445zq167 = 56113zq168 = 56785zq169 = 57461zq170 = 58141
zq171 → zq180 zq171 = 58825zq172 = 59513zq173 = 60205zq174 = 60901zq175 = 61601zq176 = 62305zq177 = 63013zq178 = 63725zq179 = 64441zq180 = 65161
zq181 → zq190 zq181 = 65885zq182 = 66613zq183 = 67345zq184 = 68081zq185 = 68821zq186 = 69565zq187 = 70313zq188 = 71065zq189 = 71821zq190 = 72581
zq191 → zq200 zq191 = 73345zq192 = 74113zq193 = 74885zq194 = 75661zq195 = 76441zq196 = 77225zq197 = 78013zq198 = 78805zq199 = 79601zq200 = 80401

 

Zentrierte Quadratzahlen von 201 bis 300


Hier finden Sie eine Liste der zentrierten Quadratzahlen von 201 bis 300.

zq201 → zq210 zq201 = 81205zq202 = 82013zq203 = 82825zq204 = 83641zq205 = 84461zq206 = 85285zq207 = 86113zq208 = 86945zq209 = 87781zq210 = 88621
zq211 → zq220 zq211 = 89465zq212 = 90313zq213 = 91165zq214 = 92021zq215 = 92881zq216 = 93745zq217 = 94613zq218 = 95485zq219 = 96361zq220 = 97241
zq221 → zq230 zq221 = 98125zq222 = 99013zq223 = 99905zq224 = 100801zq225 = 101701zq226 = 102605zq227 = 103513zq228 = 104425zq229 = 105341zq230 = 106261
zq231 → zq240 zq231 = 107185zq232 = 108113zq233 = 109045zq234 = 109981zq235 = 110921zq236 = 111865zq237 = 112813zq238 = 113765zq239 = 114721zq240 = 115681
zq241 → zq250 zq241 = 116645zq242 = 117613zq243 = 118585zq244 = 119561zq245 = 120541zq246 = 121525zq247 = 122513zq248 = 123505zq249 = 124501zq250 = 125501
zq251 → zq260 zq251 = 126505zq252 = 127513zq253 = 128525zq254 = 129541zq255 = 130561zq256 = 131585zq257 = 132613zq258 = 133645zq259 = 134681zq260 = 135721
zq261 → zq270 zq261 = 136765zq262 = 137813zq263 = 138865zq264 = 139921zq265 = 140981zq266 = 142045zq267 = 143113zq268 = 144185zq269 = 145261zq270 = 146341
zq271 → zq280 zq271 = 147425zq272 = 148513zq273 = 149605zq274 = 150701zq275 = 151801zq276 = 152905zq277 = 154013zq278 = 155125zq279 = 156241zq280 = 157361
zq281 → zq290 zq281 = 158485zq282 = 159613zq283 = 160745zq284 = 161881zq285 = 163021zq286 = 164165zq287 = 165313zq288 = 166465zq289 = 167621zq290 = 168781
zq291 → zq300 zq291 = 169945zq292 = 171113zq293 = 172285zq294 = 173461zq295 = 174641zq296 = 175825zq297 = 177013zq298 = 178205zq299 = 179401zq300 = 180601

 

Zentrierte Quadratzahlen von 301 bis 400


Hier finden Sie eine Liste der zentrierten Quadratzahlen von 301 bis 400.

zq301 → zq310 zq301 = 181805zq302 = 183013zq303 = 184225zq304 = 185441zq305 = 186661zq306 = 187885zq307 = 189113zq308 = 190345zq309 = 191581zq310 = 192821
zq311 → zq320 zq311 = 194065zq312 = 195313zq313 = 196565zq314 = 197821zq315 = 199081zq316 = 200345zq317 = 201613zq318 = 202885zq319 = 204161zq320 = 205441
zq321 → zq330 zq321 = 206725zq322 = 208013zq323 = 209305zq324 = 210601zq325 = 211901zq326 = 213205zq327 = 214513zq328 = 215825zq329 = 217141zq330 = 218461
zq331 → zq340 zq331 = 219785zq332 = 221113zq333 = 222445zq334 = 223781zq335 = 225121zq336 = 226465zq337 = 227813zq338 = 229165zq339 = 230521zq340 = 231881
zq341 → zq350 zq341 = 233245zq342 = 234613zq343 = 235985zq344 = 237361zq345 = 238741zq346 = 240125zq347 = 241513zq348 = 242905zq349 = 244301zq350 = 245701
zq351 → zq360 zq351 = 247105zq352 = 248513zq353 = 249925zq354 = 251341zq355 = 252761zq356 = 254185zq357 = 255613zq358 = 257045zq359 = 258481zq360 = 259921
zq361 → zq370 zq361 = 261365zq362 = 262813zq363 = 264265zq364 = 265721zq365 = 267181zq366 = 268645zq367 = 270113zq368 = 271585zq369 = 273061zq370 = 274541
zq371 → zq380 zq371 = 276025zq372 = 277513zq373 = 279005zq374 = 280501zq375 = 282001zq376 = 283505zq377 = 285013zq378 = 286525zq379 = 288041zq380 = 289561
zq381 → zq390 zq381 = 291085zq382 = 292613zq383 = 294145zq384 = 295681zq385 = 297221zq386 = 298765zq387 = 300313zq388 = 301865zq389 = 303421zq390 = 304981
zq391 → zq400 zq391 = 306545zq392 = 308113zq393 = 309685zq394 = 311261zq395 = 312841zq396 = 314425zq397 = 316013zq398 = 317605zq399 = 319201zq400 = 320801

 

Zentrierte Quadratzahlen von 401 bis 500


Hier finden Sie eine Liste der zentrierten Quadratzahlen von 401 bis 500.

zq401 → zq410 zq401 = 322405zq402 = 324013zq403 = 325625zq404 = 327241zq405 = 328861zq406 = 330485zq407 = 332113zq408 = 333745zq409 = 335381zq410 = 337021
zq411 → zq420 zq411 = 338665zq412 = 340313zq413 = 341965zq414 = 343621zq415 = 345281zq416 = 346945zq417 = 348613zq418 = 350285zq419 = 351961zq420 = 353641
zq421 → zq430 zq421 = 355325zq422 = 357013zq423 = 358705zq424 = 360401zq425 = 362101zq426 = 363805zq427 = 365513zq428 = 367225zq429 = 368941zq430 = 370661
zq431 → zq440 zq431 = 372385zq432 = 374113zq433 = 375845zq434 = 377581zq435 = 379321zq436 = 381065zq437 = 382813zq438 = 384565zq439 = 386321zq440 = 388081
zq441 → zq450 zq441 = 389845zq442 = 391613zq443 = 393385zq444 = 395161zq445 = 396941zq446 = 398725zq447 = 400513zq448 = 402305zq449 = 404101zq450 = 405901
zq451 → zq460 zq451 = 407705zq452 = 409513zq453 = 411325zq454 = 413141zq455 = 414961zq456 = 416785zq457 = 418613zq458 = 420445zq459 = 422281zq460 = 424121
zq461 → zq470 zq461 = 425965zq462 = 427813zq463 = 429665zq464 = 431521zq465 = 433381zq466 = 435245zq467 = 437113zq468 = 438985zq469 = 440861zq470 = 442741
zq471 → zq480 zq471 = 444625zq472 = 446513zq473 = 448405zq474 = 450301zq475 = 452201zq476 = 454105zq477 = 456013zq478 = 457925zq479 = 459841zq480 = 461761
zq481 → zq490 zq481 = 463685zq482 = 465613zq483 = 467545zq484 = 469481zq485 = 471421zq486 = 473365zq487 = 475313zq488 = 477265zq489 = 479221zq490 = 481181
zq491 → zq500 zq491 = 483145zq492 = 485113zq493 = 487085zq494 = 489061zq495 = 491041zq496 = 493025zq497 = 495013zq498 = 497005zq499 = 499001zq500 = 501001

 

Zentrierte Quadratzahlen von 501 bis 600


Hier finden Sie eine Liste der zentrierten Quadratzahlen von 501 bis 600.

zq501 → zq510 zq501 = 503005zq502 = 505013zq503 = 507025zq504 = 509041zq505 = 511061zq506 = 513085zq507 = 515113zq508 = 517145zq509 = 519181zq510 = 521221
zq511 → zq520 zq511 = 523265zq512 = 525313zq513 = 527365zq514 = 529421zq515 = 531481zq516 = 533545zq517 = 535613zq518 = 537685zq519 = 539761zq520 = 541841
zq521 → zq530 zq521 = 543925zq522 = 546013zq523 = 548105zq524 = 550201zq525 = 552301zq526 = 554405zq527 = 556513zq528 = 558625zq529 = 560741zq530 = 562861
zq531 → zq540 zq531 = 564985zq532 = 567113zq533 = 569245zq534 = 571381zq535 = 573521zq536 = 575665zq537 = 577813zq538 = 579965zq539 = 582121zq540 = 584281
zq541 → zq550 zq541 = 586445zq542 = 588613zq543 = 590785zq544 = 592961zq545 = 595141zq546 = 597325zq547 = 599513zq548 = 601705zq549 = 603901zq550 = 606101
zq551 → zq560 zq551 = 608305zq552 = 610513zq553 = 612725zq554 = 614941zq555 = 617161zq556 = 619385zq557 = 621613zq558 = 623845zq559 = 626081zq560 = 628321
zq561 → zq570 zq561 = 630565zq562 = 632813zq563 = 635065zq564 = 637321zq565 = 639581zq566 = 641845zq567 = 644113zq568 = 646385zq569 = 648661zq570 = 650941
zq571 → zq580 zq571 = 653225zq572 = 655513zq573 = 657805zq574 = 660101zq575 = 662401zq576 = 664705zq577 = 667013zq578 = 669325zq579 = 671641zq580 = 673961
zq581 → zq590 zq581 = 676285zq582 = 678613zq583 = 680945zq584 = 683281zq585 = 685621zq586 = 687965zq587 = 690313zq588 = 692665zq589 = 695021zq590 = 697381
zq591 → zq600 zq591 = 699745zq592 = 702113zq593 = 704485zq594 = 706861zq595 = 709241zq596 = 711625zq597 = 714013zq598 = 716405zq599 = 718801zq600 = 721201

 

Zentrierte Quadratzahlen von 601 bis 700


Hier finden Sie eine Liste der zentrierten Quadratzahlen von 601 bis 700.

zq601 → zq610 zq601 = 723605zq602 = 726013zq603 = 728425zq604 = 730841zq605 = 733261zq606 = 735685zq607 = 738113zq608 = 740545zq609 = 742981zq610 = 745421
zq611 → zq620 zq611 = 747865zq612 = 750313zq613 = 752765zq614 = 755221zq615 = 757681zq616 = 760145zq617 = 762613zq618 = 765085zq619 = 767561zq620 = 770041
zq621 → zq630 zq621 = 772525zq622 = 775013zq623 = 777505zq624 = 780001zq625 = 782501zq626 = 785005zq627 = 787513zq628 = 790025zq629 = 792541zq630 = 795061
zq631 → zq640 zq631 = 797585zq632 = 800113zq633 = 802645zq634 = 805181zq635 = 807721zq636 = 810265zq637 = 812813zq638 = 815365zq639 = 817921zq640 = 820481
zq641 → zq650 zq641 = 823045zq642 = 825613zq643 = 828185zq644 = 830761zq645 = 833341zq646 = 835925zq647 = 838513zq648 = 841105zq649 = 843701zq650 = 846301
zq651 → zq660 zq651 = 848905zq652 = 851513zq653 = 854125zq654 = 856741zq655 = 859361zq656 = 861985zq657 = 864613zq658 = 867245zq659 = 869881zq660 = 872521
zq661 → zq670 zq661 = 875165zq662 = 877813zq663 = 880465zq664 = 883121zq665 = 885781zq666 = 888445zq667 = 891113zq668 = 893785zq669 = 896461zq670 = 899141
zq671 → zq680 zq671 = 901825zq672 = 904513zq673 = 907205zq674 = 909901zq675 = 912601zq676 = 915305zq677 = 918013zq678 = 920725zq679 = 923441zq680 = 926161
zq681 → zq690 zq681 = 928885zq682 = 931613zq683 = 934345zq684 = 937081zq685 = 939821zq686 = 942565zq687 = 945313zq688 = 948065zq689 = 950821zq690 = 953581
zq691 → zq700 zq691 = 956345zq692 = 959113zq693 = 961885zq694 = 964661zq695 = 967441zq696 = 970225zq697 = 973013zq698 = 975805zq699 = 978601zq700 = 981401

 

Zentrierte Quadratzahlen von 701 bis 800


Hier finden Sie eine Liste der zentrierten Quadratzahlen von 701 bis 800.

zq701 → zq710 zq701 = 984205zq702 = 987013zq703 = 989825zq704 = 992641zq705 = 995461zq706 = 998285zq707 = 1001113zq708 = 1003945zq709 = 1006781zq710 = 1009621
zq711 → zq720 zq711 = 1012465zq712 = 1015313zq713 = 1018165zq714 = 1021021zq715 = 1023881zq716 = 1026745zq717 = 1029613zq718 = 1032485zq719 = 1035361zq720 = 1038241
zq721 → zq730 zq721 = 1041125zq722 = 1044013zq723 = 1046905zq724 = 1049801zq725 = 1052701zq726 = 1055605zq727 = 1058513zq728 = 1061425zq729 = 1064341zq730 = 1067261
zq731 → zq740 zq731 = 1070185zq732 = 1073113zq733 = 1076045zq734 = 1078981zq735 = 1081921zq736 = 1084865zq737 = 1087813zq738 = 1090765zq739 = 1093721zq740 = 1096681
zq741 → zq750 zq741 = 1099645zq742 = 1102613zq743 = 1105585zq744 = 1108561zq745 = 1111541zq746 = 1114525zq747 = 1117513zq748 = 1120505zq749 = 1123501zq750 = 1126501
zq751 → zq760 zq751 = 1129505zq752 = 1132513zq753 = 1135525zq754 = 1138541zq755 = 1141561zq756 = 1144585zq757 = 1147613zq758 = 1150645zq759 = 1153681zq760 = 1156721
zq761 → zq770 zq761 = 1159765zq762 = 1162813zq763 = 1165865zq764 = 1168921zq765 = 1171981zq766 = 1175045zq767 = 1178113zq768 = 1181185zq769 = 1184261zq770 = 1187341
zq771 → zq780 zq771 = 1190425zq772 = 1193513zq773 = 1196605zq774 = 1199701zq775 = 1202801zq776 = 1205905zq777 = 1209013zq778 = 1212125zq779 = 1215241zq780 = 1218361
zq781 → zq790 zq781 = 1221485zq782 = 1224613zq783 = 1227745zq784 = 1230881zq785 = 1234021zq786 = 1237165zq787 = 1240313zq788 = 1243465zq789 = 1246621zq790 = 1249781
zq791 → zq800 zq791 = 1252945zq792 = 1256113zq793 = 1259285zq794 = 1262461zq795 = 1265641zq796 = 1268825zq797 = 1272013zq798 = 1275205zq799 = 1278401zq800 = 1281601

 

Zentrierte Quadratzahlen von 801 bis 900


Hier finden Sie eine Liste der zentrierten Quadratzahlen von 801 bis 900.

zq801 → zq810 zq801 = 1284805zq802 = 1288013zq803 = 1291225zq804 = 1294441zq805 = 1297661zq806 = 1300885zq807 = 1304113zq808 = 1307345zq809 = 1310581zq810 = 1313821
zq811 → zq820 zq811 = 1317065zq812 = 1320313zq813 = 1323565zq814 = 1326821zq815 = 1330081zq816 = 1333345zq817 = 1336613zq818 = 1339885zq819 = 1343161zq820 = 1346441
zq821 → zq830 zq821 = 1349725zq822 = 1353013zq823 = 1356305zq824 = 1359601zq825 = 1362901zq826 = 1366205zq827 = 1369513zq828 = 1372825zq829 = 1376141zq830 = 1379461
zq831 → zq840 zq831 = 1382785zq832 = 1386113zq833 = 1389445zq834 = 1392781zq835 = 1396121zq836 = 1399465zq837 = 1402813zq838 = 1406165zq839 = 1409521zq840 = 1412881
zq841 → zq850 zq841 = 1416245zq842 = 1419613zq843 = 1422985zq844 = 1426361zq845 = 1429741zq846 = 1433125zq847 = 1436513zq848 = 1439905zq849 = 1443301zq850 = 1446701
zq851 → zq860 zq851 = 1450105zq852 = 1453513zq853 = 1456925zq854 = 1460341zq855 = 1463761zq856 = 1467185zq857 = 1470613zq858 = 1474045zq859 = 1477481zq860 = 1480921
zq861 → zq870 zq861 = 1484365zq862 = 1487813zq863 = 1491265zq864 = 1494721zq865 = 1498181zq866 = 1501645zq867 = 1505113zq868 = 1508585zq869 = 1512061zq870 = 1515541
zq871 → zq880 zq871 = 1519025zq872 = 1522513zq873 = 1526005zq874 = 1529501zq875 = 1533001zq876 = 1536505zq877 = 1540013zq878 = 1543525zq879 = 1547041zq880 = 1550561
zq881 → zq890 zq881 = 1554085zq882 = 1557613zq883 = 1561145zq884 = 1564681zq885 = 1568221zq886 = 1571765zq887 = 1575313zq888 = 1578865zq889 = 1582421zq890 = 1585981
zq891 → zq900 zq891 = 1589545zq892 = 1593113zq893 = 1596685zq894 = 1600261zq895 = 1603841zq896 = 1607425zq897 = 1611013zq898 = 1614605zq899 = 1618201zq900 = 1621801

 

Zentrierte Quadratzahlen von 901 bis 1000


Hier finden Sie eine Liste der zentrierten Quadratzahlen von 901 bis 1000.

zq901 → zq910 zq901 = 1625405zq902 = 1629013zq903 = 1632625zq904 = 1636241zq905 = 1639861zq906 = 1643485zq907 = 1647113zq908 = 1650745zq909 = 1654381zq910 = 1658021
zq911 → zq920 zq911 = 1661665zq912 = 1665313zq913 = 1668965zq914 = 1672621zq915 = 1676281zq916 = 1679945zq917 = 1683613zq918 = 1687285zq919 = 1690961zq920 = 1694641
zq921 → zq930 zq921 = 1698325zq922 = 1702013zq923 = 1705705zq924 = 1709401zq925 = 1713101zq926 = 1716805zq927 = 1720513zq928 = 1724225zq929 = 1727941zq930 = 1731661
zq931 → zq940 zq931 = 1735385zq932 = 1739113zq933 = 1742845zq934 = 1746581zq935 = 1750321zq936 = 1754065zq937 = 1757813zq938 = 1761565zq939 = 1765321zq940 = 1769081
zq941 → zq950 zq941 = 1772845zq942 = 1776613zq943 = 1780385zq944 = 1784161zq945 = 1787941zq946 = 1791725zq947 = 1795513zq948 = 1799305zq949 = 1803101zq950 = 1806901
zq951 → zq960 zq951 = 1810705zq952 = 1814513zq953 = 1818325zq954 = 1822141zq955 = 1825961zq956 = 1829785zq957 = 1833613zq958 = 1837445zq959 = 1841281zq960 = 1845121
zq961 → zq970 zq961 = 1848965zq962 = 1852813zq963 = 1856665zq964 = 1860521zq965 = 1864381zq966 = 1868245zq967 = 1872113zq968 = 1875985zq969 = 1879861zq970 = 1883741
zq971 → zq980 zq971 = 1887625zq972 = 1891513zq973 = 1895405zq974 = 1899301zq975 = 1903201zq976 = 1907105zq977 = 1911013zq978 = 1914925zq979 = 1918841zq980 = 1922761
zq981 → zq990 zq981 = 1926685zq982 = 1930613zq983 = 1934545zq984 = 1938481zq985 = 1942421zq986 = 1946365zq987 = 1950313zq988 = 1954265zq989 = 1958221zq990 = 1962181
zq991 → zq1000 zq991 = 1966145zq992 = 1970113zq993 = 1974085zq994 = 1978061zq995 = 1982041zq996 = 1986025zq997 = 1990013zq998 = 1994005zq999 = 1998001zq1000 = 2002001