Third Prime Number Puzzle

  

Find the largest number of prime addends that add up to 1000

Just in case you need them, here is a list of all the prime numbers up to 1000. Try to find your best answer before you scroll down for my answer.

2 3 5 7 11 13 17 19 23 29 31 37 41 43 47
53 59 61 67 71 73 79 83 89 97 101 103 107
109 113 127 131 137 139 149 151 157 163 167
173 179 181 191 193 197 199 211 223 227 229
233 239 241 251 257 263 269 271 277 281 283
293 307 311 313 317 331 337 347 349 353 359
367 373 379 383 389 397 401 409 419 421 431
433 439 443 449 457 461 463 467 479 487 491
499 503 509 521 523 541 547 557 563 569 571
577 587 593 599 601 607 613 617 619 631 641
643 647 653 659 661 673 677 683 691 701 709
719 727 733 739 743 751 757 761 769 773 787
797 809 811 821 823 827 829 839 853 857 859
863 877 881 883 887 907 911 919 929 937 941
947 953 967 971 977 983 991 997

Scroll down for my answer.

Warning, this particular answer is a TRICK answer.

Try to find it for yourself before you scroll down.

Hint: Did you see the word "different" in the question?

Just keep adding the smallest prime number until you get to your target sum. If the target sum is odd, you will need one three, otherwise, all the other numbers will be the "2", the only even prime number.

1000 = 2+2+2+2+2+2+2+2+2+ ... +2+2+2+2+2

When you are ready, we can look at the fourth puzzle.

Find the largest number of different prime addends that add up to 1000
As you solve this puzzle, you only need the first few prime numbers, maybee
2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97