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, 2008by 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.
by Yoshio Mimura, Kobe, Japan
7304
73042 = 2183 + 2603 + 2943.
Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008by Yoshio Mimura, Kobe, Japan
7305
1 / 7305 = 0.00013689..., and 13689 = 1172.
Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008by Yoshio Mimura, Kobe, Japan
7307
73072 = 1063 + 1773 + 3603 = 2023 + 2563 + 3053.
Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008by 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.
by Yoshio Mimura, Kobe, Japan
7309
73092 = 1553 + 1933 + 3493.
Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008by 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, 2008by 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, 2011by Yoshio Mimura, Kobe, Japan
7316
73162± 3 are primes.
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by 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.
by Yoshio Mimura, Kobe, Japan
7318
73182 = 1903 + 2493 + 3153.
Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008by Yoshio Mimura, Kobe, Japan
7320
73202 = 483 + 683 + 3763 = 1363 + 1643 + 3603.
Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008by Yoshio Mimura, Kobe, Japan
7321
73212 = 293 + 2793 + 3173.
Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008by Yoshio Mimura, Kobe, Japan
7322
73222 = 1193 + 2373 + 3383,
73222 = 74 + 94 + 574 + 814.
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, 2008by 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, 2008by Yoshio Mimura, Kobe, Japan
7331
73312 = 195 + 235 + 235 + 255 + 315.
Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008by 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, 2008by 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.
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.
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, 2011by 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.
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, 2008by 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, 2008by 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, 2008by 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, 2014by 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.
by Yoshio Mimura, Kobe, Japan
7352
73522 = 1083 + 2203 + 3483.
Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008by Yoshio Mimura, Kobe, Japan
7353
73532 = 84 + 384 + 514 + 824.
Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008by 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.
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, 2008by 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)
by Yoshio Mimura, Kobe, Japan
7359
73592 = 54 + 224 + 604 + 804.
Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008by 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, 2008by 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.
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, 2010by 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, 2011by 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, 2008by 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.
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, 2014by 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, 2011by 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.
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, 2008by Yoshio Mimura, Kobe, Japan
7377
73772 = 1433 + 2673 + 3193.
Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008by 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.
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, 2008by 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, 2008by 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, 2008by 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, 2008by Yoshio Mimura, Kobe, Japan
7384
73842 = 1373 + 1433 + 3663 = 2093 + 2603 + 3033.
Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008by Yoshio Mimura, Kobe, Japan
7386
73862 = 43 + 993 + 3773 = 713 + 1323 + 3733.
Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008by 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.
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.
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, 2008by Yoshio Mimura, Kobe, Japan
7392
73922 = 143 + 1143 + 3763 = 403 + 1683 + 3683.
Page of Squares : First Upload April 21, 2008 ; Last Revised April 21, 2008by 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.
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, 2008by Yoshio Mimura, Kobe, Japan