{"product_id":"2940158024993","title":"Treatise #9: The Mirror Images of Contiguous Composite Number Clusters: Easy Determinations of Most Composite Numbers","description":"This is Treatise #9 in a series of treatises by Carl L. Lambert, which series covers basic theories and principles of the relationships between prime numbers and composite numbers.  The previous eight treatises centered around the revelation of the Lambert Prime Number Formula, its logical proof, and how it is used.  This Treatise #9 expands upon the presence of extensive clusters of contiguous composite numbers whose locations are centered around primorials and multiples of primorials, and which grow in direct proportion to the size of the primes used, and whose locations are calculable and repetitive throughout the number system to infinity.","brand":"Dog Ear Publishing","offers":[{"title":"Default Title","offer_id":47071535595760,"sku":"2940158024993","price":2.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/2940158024993_p0.jpg?v=1764108067","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/2940158024993","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}