# Definition:Odd Integer/Odd-Times Odd/Definition 2

## Definition

Let $n \in \Z$ be an integer.

$n$ is odd-times odd if and only if there exist odd numbers $x, y > 1$ such that $n = x y$.

## Euclid's Definition

In the words of Euclid:

An odd-times odd number is that which is measured by an odd number according to an odd number.
{"ft_lang_label":"__label__en","ft_lang_prob":0.75394756,"math_prob":0.9984173,"size":408,"snap":"2022-40-2023-06","text_gpt3_token_len":115,"char_repetition_ratio":0.18069308,"word_repetition_ratio":0.0,"special_character_ratio":0.2720588,"punctuation_ratio":0.0952381,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.999645,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-01-27T18:22:45Z\",\"WARC-Record-ID\":\"<urn:uuid:587b987f-2147-4c9e-bec4-a47c4b927971>\",\"Content-Length\":\"37385\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:905a55c7-f88e-41b3-a800-5cc8e9a02c1b>\",\"WARC-Concurrent-To\":\"<urn:uuid:d8d5a484-a44d-4b19-baf0-b214c5e85487>\",\"WARC-IP-Address\":\"172.67.198.93\",\"WARC-Target-URI\":\"https://proofwiki.org/wiki/Definition:Odd_Integer/Odd-Times_Odd/Definition_2\",\"WARC-Payload-Digest\":\"sha1:J5AKDP7H3K5ERNST3ZVIZFII67A7HVJV\",\"WARC-Block-Digest\":\"sha1:F2K5SG5IHVID2NQXPTHF2S7JGK7MM4N5\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-06/CC-MAIN-2023-06_segments_1674764495001.99_warc_CC-MAIN-20230127164242-20230127194242-00011.warc.gz\"}"}