TY - JOUR
T1 - Cracking the problem with 33
AU - Booker, Andrew R.
PY - 2019/9/1
Y1 - 2019/9/1
N2 - Inspired by the Numberphile video “The uncracked problem with 33” by Browning and Brady Haran (https://youtu.be/wymmCdLdPvM), we investigate solutions to x3+ y3+ z3= k for a few small values of k. We find the first known solutions for k= 33 and k= 795.
AB - Inspired by the Numberphile video “The uncracked problem with 33” by Browning and Brady Haran (https://youtu.be/wymmCdLdPvM), we investigate solutions to x3+ y3+ z3= k for a few small values of k. We find the first known solutions for k= 33 and k= 795.
KW - Diophantine equations
KW - Hasse principle
KW - Sums of three cubes
UR - http://www.scopus.com/inward/record.url?scp=85069537718&partnerID=8YFLogxK
U2 - 10.1007/s40993-019-0162-1
DO - 10.1007/s40993-019-0162-1
M3 - Article
AN - SCOPUS:85069537718
VL - 5
JO - Research in Number Theory
JF - Research in Number Theory
SN - 2363-9555
IS - 3
M1 - 26
ER -