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congruent n.  and  truncatable prime

First numbers that belong to both sets:

5, 7, 13, 23, 29, 31, 37, 47, 53, 71, 79, 137, 167, 173, 197, 223, 239, 293, 311, 313, 317, 353, 367, 373, 383, 397, 599, 613, 647, 653, 719, 733, 743, 773, 797, 823, 853, 967, 983, 997, 1223, 1367, 1373, 1613, 1823, 1997, 2113, 2333, 2383, 2399, 2647, 2797, 2953, 3119, 3167, 3373, 3613, 3733, 3797, 3823, 3853, 3967, 4373, 4397, 4967, 5167, 5197, 5647, 5653, 5743, 6173, 6197, 6317, 6367, 6373, 6397, 6653, 6823, 6967, 6983, 6997, 7333, 7823, 7853, 8167, 8317, 8647, 9173, 9397, 9613, 9743, 9967, 12647, 13613, 13967, 15647, 16673, 16823, 21613, 21997, 23167, 23333, 23399, 24373, 24967, 26317, 27823, 29137, 29173, 29399, 31223, 32647, 32797, 33613, 33797, 33967, 36373, 36653, 36997, 37397, 37853, 38167, 38317, 39397, 42797, 43613, 43853, 45197, 46997, 48647, 49613, 51613, 56197, 56983, 57853, 59399, 59743, 61223, 61613, 62383, 63823, 63853, 64373, 65167, 65647, 66173, 66373, 66653, 67853, 69337, 71933, 72383, 72647, 72797, 73613, 73823, 75167, 75653, 75743, 76367, 78167, 78317, 79337, 79397, 79613, 79967, 81223, 81373, 84967, 86197, 87853, 91367, 91373, 91823, 91997, 92383, 92647, 93967, 94397, 96823, 96997, 98317, 99173, 99397, 121997, 126317, 132647, 133967, 136373, 139397, 163853, 184967, 192383, 213613, 231223, 236653, 239933, 242797, 243613, 261223, 272383, 273613, 275167, 279397, 279613, 279967, 291367, 291373, 291997, 293999, 294397, 313613, 327823, 336373, 336653, 336997, 337853, 338167, 356197, 361223, 364373, 366173, 367853, 372797, 373613, 373823, 375743, 378167, 378317, 379397, 381223, 381373, 387853, 391367, 391373, 391823, 392383, 392647, 396997, 399173, 421997, 424967, 432797, 433967, 463823, 465167, 466373, 481373, 492647, 493967, 496997, 499397, 537853, 542797, 543853, 564373, 566173, 566653, 578167, 578317, 579613, 579967, 593933, 594397, 613967, 621997, 626317, 631223, 632647, 633613, 633797, 633967, 636653, 636997, 638317, 642797, 649613, 661613, 663823, 663853.

Some larger examples :