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Honaker prime  and  junction n.

First numbers that belong to both sets:

2719, 4723, 5009, 6311, 7013, 7213, 7411, 12613, 17317, 18013, 21617, 24019, 25219, 26119, 26731, 29023, 29423, 31517, 32009, 35027, 35327, 36217, 37117, 37717, 38011, 42323, 42727, 45821, 45833, 46723, 47017, 47623, 48119, 50417, 53923, 54013, 54217, 54617, 55733, 57119, 62323, 64123, 65831, 66923, 70039, 72019, 76423, 78017, 78427, 79133, 79333, 89833, 92627, 94219, 94229, 99041, 105031, 106621, 109321, 110119, 110923, 112927, 113417, 125029, 125117, 126013, 127733, 129113, 131009, 131213, 132313, 132721, 133213, 133831, 134731, 136531, 138113, 138319, 139831, 140411, 140423, 145121, 145721, 152123, 154321, 155017, 156127, 157013, 158731, 161923, 162823, 163117, 163127, 164621, 169321, 172933, 175229, 175433, 181123, 182417, 182617, 183119, 185327, 185519, 186229, 187027, 187127, 191627, 198031, 198533, 200927, 203417, 205417, 205619, 212423, 212627, 213721, 215317, 217517, 218227, 218419, 218629, 219533, 219931, 222527, 223829, 232217, 233117, 235117, 244313, 245023, 247421, 249017, 249233, 249427, 250037, 251323, 255523, 258233, 259033, 260921, 265231, 267017, 269221, 269231, 271723, 273323, 273521, 278233, 285631, 290821, 295033, 296017, 296027, 297133, 298223, 299731, 301711, 303931, 317831, 318323, 322417, 325517, 325723, 325921, 329321, 330719, 330917, 332729, 338027, 345533, 345733, 346831, 348217, 356333, 359017, 359027, 360821, 361327, 361927, 364223, 372023, 373229, 374123, 374317, 375233, 383723, 391631, 392131, 400927, 404323, 407821, 409217, 409433, 410617, 415523, 417127, 423427, 424727, 425423, 427433, 429217, 432023, 433033, 435731, 436627, 436831, 438623, 446731, 450817, 455321, 455531, 461627, 462733, 468323, 472631, 475729, 476029, 476233, 479131, 479533, 502613, 504817, 512921, 514523, 525719, 526423, 528217, 538931, 541529, 545527, 550027, 552731, 554117, 556327, 558121, 560029, 560039, 562021, 564229, 566633, 567121, 570719, 574031, 576131, 580417, 581029, 590027, 591421, 591431, 591827, 595627, 596741, 598123, 600319, 606721, 606731, 608029, 612011, 619331, 620317, 621223, 621631, 624521, 631121, 632221, 632623, 634421, 643231, 644327, 645431, 646523, 649633, 650227, 650623, 651331, 660521, 665629, 670223, 672223.

Some larger examples :