What is the next number in the sequence: 596, 248, 122, ....

This has been set as homework for my 10 year old but both parents with A-Level Maths are stumped by it!
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619 115 631 116 641 117 643 118 647 119 653 120 659 121 661 122 673 123 677 ... 1531 243 1543 244 1549 245 1553 246 1559 247 1567 248 1571 249 1579 ... 4297 591 4327 592 4337 593 4339 594 4349 595 4357 596 4363 597 4373 ...
by Level 2 User (1.8k points)

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