4 students each wrote 2 number patterns

Shandi
3,6,9,12... 5,15,20,25
Latrell
1,3,5,7...3,5,7,9
Hong-Li
0,1,3,6...1,2,4,7
Adriano
2,3,5,7...11,13,17,19

Which student's number patterns used only prime numbers?
A.Shandi
B.Latrell
C.Hong-Li
D.Adriano
D?

shandi

Don't prime numbers have only 1 factor? So Shandi has composite numbers?

Adriano. two is prime as are all the other numbers in his pattern....

hong-li wrote 6 and 6 can be divided by 2 and 3 therefore not prime.
Latrell wrote 9 and that can be divided by 3 so 9 is not prime.

To determine which student's number patterns used only prime numbers, we need to check each pattern for prime numbers.

Starting with Shandi's pattern:
3, 6, 9, 12... 5, 15, 20, 25

None of the numbers listed in Shandi's patterns are prime numbers, so we can eliminate Shandi as the correct answer.

Next is Latrell's pattern:
1, 3, 5, 7... 3, 5, 7, 9

In Latrell's first pattern (1, 3, 5, 7), all the numbers are prime numbers. However, in the second pattern (3, 5, 7, 9), 9 is not a prime number. Therefore, Latrell's patterns do not use only prime numbers.

Moving on to Hong-Li's pattern:
0, 1, 3, 6... 1, 2, 4, 7

In Hong-Li's first pattern (0, 1, 3, 6), none of the numbers are prime numbers. However, in the second pattern (1, 2, 4, 7), 2 and 7 are prime numbers. Therefore, Hong-Li's patterns do not use only prime numbers.

Lastly, we have Adriano's pattern:
2, 3, 5, 7... 11, 13, 17, 19

In both of Adriano's patterns, all the numbers listed are prime numbers. Therefore, Adriano's number patterns used only prime numbers.

So the correct answer is D. Adriano.