perplexus.info :: Numbers : Year Yearn 6

Year Yearn 6 (Posted on 2023-12-11)

It is evident that: 2023= 7*17². Thus, 2023 is expressible in the form P*QR².
Determine the three integers following 2023 having this property.
What are the three integers preceding 2023 that have this property?

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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computer solution

| Comment 1 of 2

        1936 = 4 * 22^2
        1944 = 6 * 18^2
        2000 = 5 * 20^2
         
        2025 = 1 * 45^2
        2025 = 9 * 15^2
        2028 = 3 * 26^2

based on

ylist=double.empty(0,3);

for p=1:9

for qr=10:99

qrs=qr^2;

y=p*qrs;

if y>1900 && y<2200

ylist(end+1,:)=[y,p,qr];

end

ylist=sortrows(ylist,1)

finds


        year           p          qr

        1922           2          31
        1936           1          44
        1936           4          22
        1944           6          18
        2000           5          20
        2023           7          17
        2025           1          45
        2025           9          15
        2028           3          26
        2048           2          32
        2048           8          16
        2116           1          46
        2116           4          23
        2166           6          19
        2178           2          33
        2187           3          27

Posted by Charlie on 2023-12-11 08:32:07

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