You are to work out a number pyramid starting with 1 number in the first row,2 in the second,3 in the third,4 in the fourth row and so on.Each row should start with digit 1 and end with the digit represented by the row,for example the 7th row should end with 7.The digits/numbers to be filled up in between should be such that each pair of adjacent numbers should sum up to a prime.A few rows are shown filled up below-
1- Sums involved -nil
1,2 3
1,2,3 3,5
1,2,3,4 3,5,7
1,4,3,2,5 5,7,5,7
1,4,3,2,5,6 5,7,5,7,11
1,4,3,2,5,6,7 5,7,5,7,11,13
1,6,7,4,3,2,5,8 7,13,11,7,5,7,13
Try filling up subsequent rows.There could sometimes be more ways in respect the digits/numbers involved in the middle of each row.
It may not be easy when you proceed upto row 17,19 etc.
1- Sums involved -nil
1,2 3
1,2,3 3,5
1,2,3,4 3,5,7
1,4,3,2,5 5,7,5,7
1,4,3,2,5,6 5,7,5,7,11
1,4,3,2,5,6,7 5,7,5,7,11,13
1,6,7,4,3,2,5,8 7,13,11,7,5,7,13
Try filling up subsequent rows.There could sometimes be more ways in respect the digits/numbers involved in the middle of each row.
It may not be easy when you proceed upto row 17,19 etc.
