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Old 2022-02-14, 14:43   #42
Dr Sardonicus
 
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Feb 2017
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As an exercise, I worked out the possibilities for p (mod 30030) for which p+{0,2,12,14,24,26,30,32} and p+{0,2,12,14,24,26,30,32}+ 180; and p+{0,2,6,8,18,20,30,32}, p+{0,2,6,8,18,20,30,32} + 180

are all relatively prime to 30030 = 13#.

p+{0,2,12,14,24,26,30,32} and p+{0,2,12,14,24,26,30,32}+ 180
[p, p + 2, p + 12, p + 14, p + 24, p + 26, p + 30, p + 32, p + 180, p + 182, p + 192, p + 194, p + 204, p + 206, p + 210, p + 212]
p == 827, 10067, 14687, or 16997 (mod 30030)


p+{0,2,6,8,18,20,30,32}, p+{0,2,6,8,18,20,30,32} + 180
[p, p + 2, p + 6, p + 8, p + 18, p + 20, p + 30, p + 32, p + 180, p + 182, p + 186, p + 188, p + 198, p + 200, p + 210, p + 212]
p == 12821, 15131, 19751, or 28991 (mod 30030)
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