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Probably sometime in 1944 in random discussions on the US Army's Project PX, to build ENIAC. However nothing could be done with it as ENIAC plans were frozen, it would have to wait for the end of the war and other funding sources. It would also have to wait for memory technologies to be developed with a much lower cost per bit/digit than the ENIAC memory (20, 10-digit accumulators made of hundreds of tubes per accumulator). That alone would require large amounts of research funding, before serious work on a stored program computer could really begin.
Without "large cheap fast memories" first, the stored program computer concept was worthless (the adjectives "large", "cheap", and "fast" are often mutually contradictory). It really wasn't until magnetic core memory, just under a decade later that that requirement began to be fulfilled, and it wasn't until 1971 when intel introduced the 1103 DRAM that memory size limits really began to be lifted as costs per bit dropped even faster.
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