{"id":29,"date":"2026-07-20T16:08:12","date_gmt":"2026-07-20T16:08:12","guid":{"rendered":"https:\/\/mathrelated.co.uk\/?page_id=29"},"modified":"2026-07-20T16:33:40","modified_gmt":"2026-07-20T16:33:40","slug":"relation-lowercase-c-in-group-1-12t2t1","status":"publish","type":"page","link":"https:\/\/mathrelated.co.uk\/index.php\/relation-lowercase-c-in-group-1-12t2t1\/","title":{"rendered":"Relation &#8216;lowercase c&#8217; in group 1+(-1+2^t)*(2^(t+1))"},"content":{"rendered":"\n<div class=\"wp-block-math\"><math display=\"block\"><semantics><mrow><mo>\u2212<\/mo><mn>1<\/mn><mo>+<\/mo><msup><mn>2<\/mn><mrow><mi>t<\/mi><mo>+<\/mo><mn>1<\/mn><\/mrow><\/msup><mo>\u2261<\/mo><msup><mn>2<\/mn><mrow><mn>1<\/mn><mo>+<\/mo><mn>2<\/mn><mo>\u2217<\/mo><mi>t<\/mi><\/mrow><\/msup><\/mrow><annotation encoding=\"application\/x-tex\">-1+2^{t+1}   \u2261   2^{1+2*t}<\/annotation><\/semantics><\/math><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">For t=11 set N (composite)<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">&nbsp;4095<\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">For t=23 group P<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">&nbsp;16777215<\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">For t=39 group P<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">&nbsp;1099511627775<\/pre>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"885\" height=\"488\" src=\"https:\/\/mathrelated.co.uk\/wp-content\/uploads\/2026\/07\/lowercaseCrelationT11T23T39.jpeg\" alt=\"calculation with numeric output\" class=\"wp-image-31\" srcset=\"https:\/\/mathrelated.co.uk\/wp-content\/uploads\/2026\/07\/lowercaseCrelationT11T23T39.jpeg 885w, https:\/\/mathrelated.co.uk\/wp-content\/uploads\/2026\/07\/lowercaseCrelationT11T23T39-300x165.jpeg 300w, https:\/\/mathrelated.co.uk\/wp-content\/uploads\/2026\/07\/lowercaseCrelationT11T23T39-768x423.jpeg 768w\" sizes=\"auto, (max-width: 885px) 100vw, 885px\" \/><figcaption class=\"wp-element-caption\">lowercase &#8216;c&#8217; &#8211; showing identical<\/figcaption><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>For t=11 set N (composite) &nbsp;4095 For t=23 group P &nbsp;16777215 For t=39 group P &nbsp;1099511627775<\/p>\n","protected":false},"author":1,"featured_media":37,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-29","page","type-page","status-publish","has-post-thumbnail","hentry"],"_links":{"self":[{"href":"https:\/\/mathrelated.co.uk\/index.php\/wp-json\/wp\/v2\/pages\/29","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathrelated.co.uk\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mathrelated.co.uk\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mathrelated.co.uk\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathrelated.co.uk\/index.php\/wp-json\/wp\/v2\/comments?post=29"}],"version-history":[{"count":4,"href":"https:\/\/mathrelated.co.uk\/index.php\/wp-json\/wp\/v2\/pages\/29\/revisions"}],"predecessor-version":[{"id":44,"href":"https:\/\/mathrelated.co.uk\/index.php\/wp-json\/wp\/v2\/pages\/29\/revisions\/44"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/mathrelated.co.uk\/index.php\/wp-json\/wp\/v2\/media\/37"}],"wp:attachment":[{"href":"https:\/\/mathrelated.co.uk\/index.php\/wp-json\/wp\/v2\/media?parent=29"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}