# 166

This number is a composite. 166 is the smallest number such that the number and its reversal are both congruent to 1 mod p for the same set of some three distinct odd primes (166 = 661 = 1 mod (3, 5, 11)). [Thoms] 166!-1 is a factorial minus one prime. [Dobb] The smallest Smith number that is prime when reversed (661), turned upside down (991), and reversed-then-turned upside down (199). You get the next case by inserting a zero between the digits (10606). [Capelle]
{"ft_lang_label":"__label__en","ft_lang_prob":0.8729506,"math_prob":0.9872477,"size":550,"snap":"2023-40-2023-50","text_gpt3_token_len":148,"char_repetition_ratio":0.10989011,"word_repetition_ratio":0.0,"special_character_ratio":0.3181818,"punctuation_ratio":0.12280702,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9892056,"pos_list":[0,1,2,3,4,5,6],"im_url_duplicate_count":[null,null,null,null,null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-09-30T03:49:15Z\",\"WARC-Record-ID\":\"<urn:uuid:52f6dc0c-e437-4ebc-9bb1-4df7dea8843f>\",\"Content-Length\":\"9635\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:a0f5cf49-bcf9-4803-a194-c580e493a609>\",\"WARC-Concurrent-To\":\"<urn:uuid:a99e83cb-8237-4a24-9549-6e36f40a595a>\",\"WARC-IP-Address\":\"45.55.123.225\",\"WARC-Target-URI\":\"https://t5k.org/curios/page.php/166.html\",\"WARC-Payload-Digest\":\"sha1:BMMDMHLZOF6J2GV2BOFAOIIV5TQ6SFAE\",\"WARC-Block-Digest\":\"sha1:JHULLWYFGPBXAK75USHOWDIA7TJEJO3U\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-40/CC-MAIN-2023-40_segments_1695233510575.93_warc_CC-MAIN-20230930014147-20230930044147-00303.warc.gz\"}"}