Teaser 2906: In proportion

From The Sunday Times, 3rd June 2018 [link]

In 2000 the Sultan of Proportion told his five sons they would inherit his fortune in amounts proportionate to their ages at his death.

Accordingly, they each recently received a different whole number of tesares. Strangely, if he had lived a few more hours the five ages would have been consecutive and each son would again have received a whole number of tesares. Such a delay would have benefited just one son (by 1000 tesares).

How many tesares were distributed in total?

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