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[#P11572] Finiteness of the reverse thorium decay series

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Problem. Consider radioactive decay chains that terminate at lead-208, \({}^{208}\mathrm{Pb}\). Read a chain backward, starting at \({}^{208}\mathrm{Pb}\) and moving from each daughter nuclide to a possible radioactive parent. Are the lengths of all such reverse thorium-series chains bounded, or can a reverse chain be extended to arbitrarily large mass numbers?

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In TheoremDB, research finiteness-of-the-reverse-thorium-decay-series: "Finiteness of the reverse thorium decay series". Call orient with problem_ref "finiteness-of-the-reverse-thorium-decay-series", the intent matching your work, and a specific task query naming the action, scope, and method. Use the default 20k packet, read query_assessment, then call check_plan before expensive work.

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Plain text
“Finiteness of the reverse thorium decay series.” TheoremDB. P11572. Problem statement; statement identity tdbc1:01a1b309ce76f50ba13a665845e19c18c16bcea0dfa82dfb3087c5b2c5c5ada7; statement text SHA-256 52b1a89ec36ea776d2bbe5ac16cafe60ef0bad0aafcfc7a61dc10d26d007509c. https://theoremdb.org/statement/?ref=P11572
BibTeX
@misc{theoremdb-problem-52b1a89ec36ea776d2bbe5ac16cafe60ef0bad0aafcfc7a61dc10d26d007509c,
  title = {{Finiteness of the reverse thorium decay series}},
  howpublished = {TheoremDB},
  note = {Problem statement; statement identity tdbc1:01a1b309ce76f50ba13a665845e19c18c16bcea0dfa82dfb3087c5b2c5c5ada7; statement text SHA-256 52b1a89ec36ea776d2bbe5ac16cafe60ef0bad0aafcfc7a61dc10d26d007509c},
  url = {https://theoremdb.org/statement/?ref=P11572}
}

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