Jim is quite right, it may even be closer than 5th cousin. Every person of Jewish origin supposedly shares at least one chromosome segment in common, however small. That is why I never look for cousins above 3rd to 4th cousin level on DNA sites. It is also usually impossible to match with the many 3rd cousins the sites will give you - I have thousands of 3rd cousins on FTDNA, 23andme, Ancestry and My Heritage, most not in common with each other. The sites are quite often optimistic in their assessments, and because our acestors lived in isolated communities and often married their cousins in the past, these relations can often appear closer on DNA sites.
In recent family history terms, my great grandparents Benjamin (1855-1945) and Janet (1859-1937) Brown (Brin from Vishtinetz, now Vistytis) from Edinburgh, Scotland were first cousins. There were many first cousin marriages in this family, who were of rabbinical heritage. Benjamin's youngest son married Janet's nephew (her brother's son), making them double first cousins.
Also, Benjamin's son Morris (1881-1946) (my grandfather) married Leah Guttenberg (1887-1942) whose mother was Basha Plotnvosky. Basha's sister Rebecca married Solomon Berkowtiz (Karobelnik), whose daughter Annie Leah married David Lazarus Brown, first cousin of Morris Brown, son of Benjamin. This makes their descendants my double second cousins on both the Brown and Plotnovsky side.
This has some interesting DNA results, as the same generation descendants of Benjamin and Janet (first cousins) share a lot more DNA with me, than the descendants of Benjamin's sister Janet Michaelson nee Brown, who was not a cousin of her husband.
Jill Whitehead, Surrey, UK