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7300 - 7399

7300

73002 = 1203 + 2503 + 3303.

1 / N = 0.0001369.... and 1369 = 372 for N = 7300, 7301, 7302, 7303, 7304.

Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008
by Yoshio Mimura, Kobe, Japan

7302

73025 = 20759129735943784032 :
22 + 02 + 72 + 52 + 92 + 12 + 292 + 72 + 32 + 592 + 42 + 32 + 72 + 82 + 402 + 322
= 22 + 02 + 72 + 592 + 12 + 292 + 72 + 32 + 52 + 92 + 42 + 32 + 72 + 82 + 402 + 322 = 7302.

Page of Squares : First Upload December 8, 2008 ; Last Revised December 8, 2008
by Yoshio Mimura, Kobe, Japan

7304

73042 = 2183 + 2603 + 2943.

Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008
by Yoshio Mimura, Kobe, Japan

7305

1 / 7305 = 0.00013689..., and 13689 = 1172.

Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008
by Yoshio Mimura, Kobe, Japan

7307

73072 = 1063 + 1773 + 3603 = 2023 + 2563 + 3053.

Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008
by Yoshio Mimura, Kobe, Japan

7308

73082 = (12 + 5)(32 + 5)(112 + 5)(712 + 5).

73082 = 283 + 2823 + 3143 = 1313 + 2883 + 3013.

Komachi equation: 73082 = 92 * 872 / 62 / 52 * 42 / 32 * 2102.

73085 = 20844558137874336768 :
22 + 02 + 82 + 442 + 552 + 82 + 12 + 32 + 72 + 82 + 72 + 432 + 32 + 62 + 72 + 62 + 82 = 7308.

Page of Squares : First Upload April 21, 2008 ; Last Revised January 11, 2014
by Yoshio Mimura, Kobe, Japan

7309

73092 = 1553 + 1933 + 3493.

Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008
by Yoshio Mimura, Kobe, Japan

7314

73142 = 53494596, and 52 + 32 + 42 + 92 + 42 + 52 + 92 + 62 = 172.

Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008
by Yoshio Mimura, Kobe, Japan

7315

7315k + 23177k + 28259k + 36113k are squares for k = 1,2,3 (3082, 518982, 90832282).

Page of Squares : First Upload July 8, 2011 ; Last Revised July 8, 2011
by Yoshio Mimura, Kobe, Japan

7316

73162± 3 are primes.

Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

7317

73175 = 20973227858817636357 :
22 + 02 + 92 + 72 + 32 + 222 + 782 + 52 + 82 + 82 + 172 + 62 + 32 + 62 + 32 + 52 + 72 = 7317.

Page of Squares : First Upload December 8, 2008 ; Last Revised December 8, 2008
by Yoshio Mimura, Kobe, Japan

7318

73182 = 1903 + 2493 + 3153.

Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008
by Yoshio Mimura, Kobe, Japan

7320

73202 = 483 + 683 + 3763 = 1363 + 1643 + 3603.

Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008
by Yoshio Mimura, Kobe, Japan

7321

73212 = 293 + 2793 + 3173.

Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008
by Yoshio Mimura, Kobe, Japan

7322

73222 = 1193 + 2373 + 3383,
73222 = 74 + 94 + 574 + 814.

Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008
by Yoshio Mimura, Kobe, Japan

7325

73252 = 53655625, and 53 * 6 * 5 * 5 - 625 = 7325.

Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008
by Yoshio Mimura, Kobe, Japan

7329

73292 = 53714241, a zigzag square.

73292 = 53714241, and 52 + 32 + 72 + 12 + 42 + 22 + 42 + 12 = 112.

732947329 = 270732.

Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008
by Yoshio Mimura, Kobe, Japan

7331

73312 = 195 + 235 + 235 + 255 + 315.

Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008
by Yoshio Mimura, Kobe, Japan

7332

73322 = 53758224, and 52 + 32 + 72 + 52 + 82 + 22 + 22 + 42 = 142.

73322 = S2(428) + S2(435), where S2(N) = 12 + 22 + 32 + ... + N2.

Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008
by Yoshio Mimura, Kobe, Japan

7333

73335 = 21203542495782551893 :
22 + 12 + 22 + 02 + 32 + 52 + 42 + 22 + 42 + 92 + 52 + 782 + 252 + 52 + 182 + 92 + 32 = 7333.

Page of Squares : First Upload December 8, 2008 ; Last Revised December 8, 2008
by Yoshio Mimura, Kobe, Japan

7335

73352 = 1763 + 2163 + 3373.

73355 = 21232473508662834375 :
212 + 22 + 32 + 22 + 472 + 32 + 502 + 82 + 62 + 62 + 282 + 342 + 32 + 72 + 52 = 7335.

Page of Squares : First Upload April 21, 2008 ; Last Revised December 8, 2008
by Yoshio Mimura, Kobe, Japan

7336

73362 = 53816896, and 5 * 3 * 81 * 6 - 8 + 9 * 6 = 53 * 8 + 16 * 8 * 9 * 6 = 7336.

653 + 7336 = 5312, 653 - 7336 = 5172.

73362 = 1123 + 2643 + 3243.

Page of Squares : First Upload April 21, 2008 ; Last Revised August 5, 2011
by Yoshio Mimura, Kobe, Japan

7338

73383 = 395123738472, and 32 + 92 + 52 + 12 + 232 + 72 + 382 + 42 + 722 = 7338.

73385 = 21275929231955499168 :
22 + 122 + 752 + 92 + 292 + 22 + 32 + 12 + 92 + 52 + 52 + 42 + 92 + 92 + 162 + 82 = 7338.

Page of Squares : First Upload April 21, 2008 ; Last Revised December 8, 2008
by Yoshio Mimura, Kobe, Japan

7339

73392 = 53860921, a square consisting of different digits.

Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008
by Yoshio Mimura, Kobe, Japan

7340

The square root of 7340 is 85.67...., and 85 = 62 + 72.

Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008
by Yoshio Mimura, Kobe, Japan

7341

The square root of 7341 is 85.67...., and 85 = 62 + 72.

Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008
by Yoshio Mimura, Kobe, Japan

7344

73442 = (12 + 8)(22 + 8)(32 + 8)(82 + 8)(202 + 8) = (12 + 8)(32 + 8)(42 + 8)(82 + 8)(142 + 8)
= (12 + 8)(42 + 8)(102 + 8)(482 + 8) = (12 + 8)(82 + 8)(142 + 8)(202 + 8)
= (22 + 8)(442 + 8)(482 + 8) = (32 + 8)(82 + 8)(102 + 8)(202 + 8).

73442 = 1003 + 2963 + 3003.

Page of Squares : First Upload April 21, 2008 ; Last Revised January 11, 2014
by Yoshio Mimura, Kobe, Japan

7350

73502 = (12 + 6)(22 + 6)(32 + 6)(82 + 6)(272 + 6) = (12 + 6)(32 + 6)(62 + 6)(82 + 6)(132 + 6)
= (12 + 6)(82 + 6)(122 + 6)(272 + 6) = (122 + 6)(222 + 6)(272 + 6)
= (22 + 6)(32 + 6)(222 + 6)(272 + 6) = (22 + 6)(62 + 6)(132 + 6)(272 + 6)
= (32 + 6)(62 + 6)(132 + 6)(222 + 6).

73502 = 1473 + 1903 + 3533.

Komachi equations:
73502 = 92 * 82 * 72 / 62 * 52 / 42 / 32 * 2102 = 982 / 72 * 62 * 52 / 42 / 32 * 2102.

Page of Squares : First Upload April 21, 2008 ; Last Revised January 11, 2014
by Yoshio Mimura, Kobe, Japan

7352

73522 = 1083 + 2203 + 3483.

Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008
by Yoshio Mimura, Kobe, Japan

7353

73532 = 84 + 384 + 514 + 824.

Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008
by Yoshio Mimura, Kobe, Japan

7355

The square root of 7355 is 85.76...., and 85 = 72 + 62.

73555 = 21523524317488596875 :
212 + 52 + 22 + 32 + 52 + 22 + 432 + 12 + 72 + 42 + 82 + 82 + 52 + 92 + 682 + 72 + 52 = 7355.

Page of Squares : First Upload April 21, 2008 ; Last Revised December 8, 2008
by Yoshio Mimura, Kobe, Japan

7356

The square root of 7356 is 85.76...., and 85 = 72 + 62.

73562 = S2(411) + S2(452), where S2(N) = 12 + 22 + 32 + ... + N2.

Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008
by Yoshio Mimura, Kobe, Japan

7358

130k + 1937k + 4264k + 7358k are squares for k = 1,2,3 (1172, 87232, 6950972).

73582 = 54140164 appears in the decimal expressions of e:
  e = 2.71828•••54140164••• (from the 97813rd digit)

Page of Squares : First Upload November 4, 2008 ; Last Revised July 8, 2011
by Yoshio Mimura, Kobe, Japan

7359

73592 = 54 + 224 + 604 + 804.

Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008
by Yoshio Mimura, Kobe, Japan

7361

1 / 7361 = 0.00013585110, 12 + 32 + 52 + 852 + 12 + 102 = 7361.

73612 = S2(424) + S2(441), where S2(N) = 12 + 22 + 32 + ... + N2.

73612 = 54184321, 5 / 4 * 184 * 32 + 1 = 7361.

Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008
by Yoshio Mimura, Kobe, Japan

7363

73632 = 54213769, a square consisting of different digits.

73635 = 21640834432251813043 :
212 + 642 + 02 + 82 + 32 + 42 + 42 + 32 + 22 + 252 + 12 + 82 + 132 + 02 + 432
= 212 + 642 + 02 + 82 + 32 + 42 + 432 + 22 + 252 + 12 + 82 + 132 + 02 + 42 + 32 = 7363.

Page of Squares : First Upload April 21, 2008 ; Last Revised December 8, 2008
by Yoshio Mimura, Kobe, Japan

7364

Komachi equations: 73642 = 12 * 22 / 32 / 42 * 562 * 7892.

Page of Squares : First Upload November 5, 2010 ; Last Revised November 5, 2010
by Yoshio Mimura, Kobe, Japan

7366

2291k + 2465k + 2755k + 5945k are squares for k = 1,2,3 (1162, 73662, 5079642).

Page of Squares : First Upload July 8, 2011 ; Last Revised July 8, 2011
by Yoshio Mimura, Kobe, Japan

7367

73672 = 54272689, and 54 * 2 + 7268 - 9 = 7367.

Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008
by Yoshio Mimura, Kobe, Japan

7369

73695 = 21729152235230047849 :
212 + 72 + 22 + 92 + 12 + 52 + 22 + 22 + 32 + 52 + 232 + 02 + 02 + 42 + 782 + 42 + 92
= 212 + 72 + 22 + 92 + 12 + 52 + 22 + 232 + 52 + 22 + 32 + 02 + 02 + 42 + 782 + 42 + 92 = 7369.

Page of Squares : First Upload December 8, 2008 ; Last Revised December 8, 2008
by Yoshio Mimura, Kobe, Japan

7370

73702± 3 are primes.

73702 = 663 + 1093 + 3753.

Page of Squares : First Upload April 21, 2008 ; Last Revised January 18, 2014
by Yoshio Mimura, Kobe, Japan

7371

73712 = (14 + 15 + 16 + ... + 76)2 + (77 + 78 + 79 + ... + 139)3.

57k + 102k + 222k + 348k are squares for k = 1,2,3 (272, 4292, 73712).

Page of Squares : First Upload April 21, 2008 ; Last Revised July 8, 2011
by Yoshio Mimura, Kobe, Japan

7372

73722 = 423 + 643 + 3783 = 433 + 1783 + 3653 = 1933 + 2783 + 2953.

73725 = 21773419133969861632 :
212 + 72 + 72 + 32 + 412 + 92 + 12 + 32 + 32 + 92 + 62 + 92 + 82 + 612 + 62 + 322 = 7372.

Page of Squares : First Upload April 21, 2008 ; Last Revised December 8, 2008
by Yoshio Mimura, Kobe, Japan

7375

73752 = 54390625, and 52 + 42 + 32 + 92 + 02 + 62 + 22 + 52 = 142.

73752 = 503 + 2253 + 3503.

Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008
by Yoshio Mimura, Kobe, Japan

7377

73772 = 1433 + 2673 + 3193.

Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008
by Yoshio Mimura, Kobe, Japan

7378

73785 = 21862169365977518368 :
212 + 82 + 62 + 212 + 62 + 92 + 32 + 62 + 52 + 92 + 772 + 52 + 12 + 82 + 32 + 62 + 82 = 7378.

Page of Squares : First Upload December 8, 2008 ; Last Revised December 8, 2008
by Yoshio Mimura, Kobe, Japan

7379

73792 = (62 + 63 + 64 + ... + 108)2 + (109 + 110 + 111 + ... + 155)2.

73792 = 673 + 1993 + 3593.

Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008
by Yoshio Mimura, Kobe, Japan

7380

73802 = 54464400, and 5 * 4 + 46 * 4 * 40 + 0 = 7380.

Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008
by Yoshio Mimura, Kobe, Japan

7381

73812 = 54479161, and 52 + 42 + 42 + 72 + 92 + 12 + 62 + 12 = 152.

Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008
by Yoshio Mimura, Kobe, Japan

7383

The square root of 7383 is 85.92...., and 85 = 92 + 22.

Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008
by Yoshio Mimura, Kobe, Japan

7384

73842 = 1373 + 1433 + 3663 = 2093 + 2603 + 3033.

Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008
by Yoshio Mimura, Kobe, Japan

7386

73862 = 43 + 993 + 3773 = 713 + 1323 + 3733.

Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008
by Yoshio Mimura, Kobe, Japan

7388

73882 = 84 + 364 + 424 + 844.

73885 = 22010729361074183168 :
22 + 22 + 02 + 12 + 02 + 722 + 92 + 362 + 102 + 72 + 42 + 182 + 32 + 162 + 82
= 22 + 22 + 02 + 102 + 722 + 92 + 362 + 12 + 02 + 72 + 42 + 182 + 32 + 162 + 82 = 7388.

Page of Squares : First Upload April 21, 2008 ; Last Revised December 8, 2008
by Yoshio Mimura, Kobe, Japan

7389

73892 = 54597321, and 5 + 4 + 59 + 7321 = 54 + 5 + 9 + 7321 = 7389.

73892 = 493 + 1763 + 3663.

73894 = 2980867460377041,
and 22 + 92 + 82 + 02 + 82 + 62 + 72 + 462 + 02 + 32 + 72 + 702 + 42 + 12 = 7389.

Page of Squares : First Upload April 21, 2008 ; Last Revised December 1, 2008
by Yoshio Mimura, Kobe, Japan

7391

73912 = S2(181) + S2(540), where S2(N) = 12 + 22 + 32 + ... + N2.

Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008
by Yoshio Mimura, Kobe, Japan

7392

73922 = 143 + 1143 + 3763 = 403 + 1683 + 3683.

Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008
by Yoshio Mimura, Kobe, Japan

7396

The square of 86.

Komachi equations:
73962 = 94 * 84 * 74 / 64 * 54 * 434 / 2104 = 984 / 74 * 64 * 54 * 434 / 2104.

Page of Squares : First Upload April 21, 2008 ; Last Revised November 5, 2010
by Yoshio Mimura, Kobe, Japan

7399

73992 = 54745201,
and 5 * 4 * 74 * 5 + 2 * 0 - 1 = 5 * 4 * 74 * 5 - 2 + 0 + 1 = 5 * 4 * 74 * 5 - 2 * 0 - 1 = 7399.

73992 = 1613 + 2173 + 3433.

Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008
by Yoshio Mimura, Kobe, Japan