Palindromic prime 131

 
 
131   =   41   +   43   +   47

131   is smallest palindromic prime that is the sum of three consecutive primes.

 
Can find other palindromic primes with this property?

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

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About benvitalis

math grad - Interest: Number theory
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5 Responses to Palindromic prime 131

  1. K.D. BAJPAI says:

    Sum of three consecutive primes yields a palindromic prime:

    1 131 = 41 + 43 + 47
    2 10501 = 3491 + 3499 + 3511
    3 10601 = 3529 + 3533 + 3539
    4 13931 = 4639 + 4643 + 4649
    5 31013 = 10333 + 10337 + 10343
    6 31513 = 10499 + 10501 + 10513
    7 36563 = 12163 + 12197 + 12203
    8 38783 = 12919 + 12923 + 12941
    9 70607 = 23531 + 23537 + 23539
    10 77977 = 25981 + 25997 + 25999
    11 79997 = 26647 + 26669 + 26681
    12 94949 = 31643 + 31649 + 31657
    13 96769 = 32251 + 32257 + 32261
    14 1126211 = 375391 + 375407 + 375413
    15 1177711 = 392549 + 392569 + 392593
    16 1245421 = 415133 + 415141 + 415147
    17 1250521 = 416833 + 416839 + 416849
    18 1363631 = 454541 + 454543 + 454547
    19 1486841 = 495611 + 495613 + 495617
    20 1542451 = 514127 + 514147 + 514177
    21 1580851 = 526943 + 526951 + 526957
    22 1583851 = 527929 + 527941 + 527981
    23 1654561 = 551503 + 551519 + 551539
    24 1657561 = 552511 + 552523 + 552527
    25 1670761 = 556891 + 556931 + 556939
    26 1793971 = 597967 + 597997 + 598007
    27 1936391 = 645443 + 645467 + 645481
    28 1957591 = 652507 + 652541 + 652543
    29 1993991 = 664661 + 664663 + 664667
    30 3001003 = 1000313 + 1000333 + 1000357
    31 3016103 = 1005359 + 1005371 + 1005373
    32 3095903 = 1031923 + 1031981 + 1031999
    33 3241423 = 1080463 + 1080479 + 1080481
    34 3305033 = 1101671 + 1101673 + 1101689
    35 3380833 = 1126897 + 1126963 + 1126973
    36 3427243 = 1142389 + 1142423 + 1142431
    37 3503053 = 1167667 + 1167689 + 1167697
    38 3698963 = 1232981 + 1232983 + 1232999
    39 3812183 = 1270679 + 1270747 + 1270757
    40 3829283 = 1276409 + 1276433 + 1276441

  2. K.D. BAJPAI says:

    131 is smallest palindromic prime that is the sum of three consecutive primes.

    The list for other palindromic primes with this property is as follows:
    131 = 41 + 43 + 47
    10501 = 3491 + 3499 + 3511
    10601 = 3529 + 3533 + 3539
    13931 = 4639 + 4643 + 4649
    31013 = 10333 + 10337 + 10343
    31513 = 10499 + 10501 + 10513
    36563 = 12163 + 12197 + 12203
    38783 = 12919 + 12923 + 12941
    70607 = 23531 + 23537 + 23539
    77977 = 25981 + 25997 + 25999
    79997 = 26647 + 26669 + 26681
    94949 = 31643 + 31649 + 31657
    96769 = 32251 + 32257 + 32261
    1126211 = 375391 + 375407 + 375413
    1177711 = 392549 + 392569 + 392593
    1245421 = 415133 + 415141 + 415147
    1250521 = 416833 + 416839 + 416849
    1363631 = 454541 + 454543 + 454547
    1486841 = 495611 + 495613 + 495617
    1542451 = 514127 + 514147 + 514177
    1580851 = 526943 + 526951 + 526957
    1583851 = 527929 + 527941 + 527981
    1654561 = 551503 + 551519 + 551539
    1657561 = 552511 + 552523 + 552527
    1670761 = 556891 + 556931 + 556939
    1793971 = 597967 + 597997 + 598007
    1936391 = 645443 + 645467 + 645481
    1957591 = 652507 + 652541 + 652543
    1993991 = 664661 + 664663 + 664667
    3001003 = 1000313 + 1000333 + 1000357
    3016103 = 1005359 + 1005371 + 1005373
    3095903 = 1031923 + 1031981 + 1031999
    3241423 = 1080463 + 1080479 + 1080481
    3305033 = 1101671 + 1101673 + 1101689
    3380833 = 1126897 + 1126963 + 1126973
    3427243 = 1142389 + 1142423 + 1142431
    3503053 = 1167667 + 1167689 + 1167697
    3698963 = 1232981 + 1232983 + 1232999
    3812183 = 1270679 + 1270747 + 1270757
    3829283 = 1276409 + 1276433 + 1276441
    3942493 = 1314161 + 1314163 + 1314169
    3983893 = 1327933 + 1327973 + 1327987
    3997993 = 1332649 + 1332671 + 1332673
    7046407 = 2348791 + 2348807 + 2348809
    7096907 = 2365631 + 2365637 + 2365639
    7257527 = 2419159 + 2419181 + 2419187
    7764677 = 2588219 + 2588227 + 2588231
    7821287 = 2607083 + 2607097 + 2607107
    7831387 = 2610451 + 2610463 + 2610473
    7930397 = 2643457 + 2643461 + 2643479
    9045409 = 3015121 + 3015127 + 3015161
    9185819 = 3061937 + 3061939 + 3061943
    9200029 = 3066649 + 3066689 + 3066691
    9217129 = 3072353 + 3072373 + 3072403
    9230329 = 3076757 + 3076783 + 3076789
    9286829 = 3095597 + 3095611 + 3095621
    9419149 = 3139699 + 3139723 + 3139727
    9504059 = 3168017 + 3168019 + 3168023
    9626269 = 3208729 + 3208769 + 3208771
    9762679 = 3254221 + 3254227 + 3254231
    9801089 = 3267023 + 3267029 + 3267037
    9817189 = 3272383 + 3272387 + 3272419
    9918199 = 3306049 + 3306059 + 3306091

  3. Paul says:

    Here are a few more

    33467981 + 33467989 + 33468031 = 100404001
    33999689 + 33999703 + 33999709 = 101999101
    34387063 + 34387117 + 34387121 = 103161301
    35515187 + 35515201 + 35515213 = 106545601
    35643191 + 35643193 + 35643217 = 106929601
    36387271 + 36387289 + 36387341 = 109161901
    36491627 + 36491633 + 36491641 = 109474901
    36552289 + 36552301 + 36552311 = 109656901
    37171691 + 37171699 + 37171721 = 111515111
    37370381 + 37370401 + 37370429 = 112111211
    38063801 + 38063803 + 38063807 = 114191411
    38117797 + 38117801 + 38117813 = 114353411
    38292767 + 38292803 + 38292841 = 114878411
    38404153 + 38404169 + 38404189 = 115212511
    38882171 + 38882203 + 38882237 = 116646611
    38956187 + 38956201 + 38956223 = 116868611
    39090899 + 39090901 + 39090911 = 117272711
    39252557 + 39252571 + 39252583 = 117757711
    40144639 + 40144679 + 40144703 = 120434021
    40464349 + 40464371 + 40464401 = 121393121
    40646357 + 40646381 + 40646383 = 121939121
    40787731 + 40787741 + 40787749 = 122363221
    41191763 + 41191769 + 41191789 = 123575321
    42033851 + 42033863 + 42033907 = 126101621
    42053831 + 42053873 + 42053917 = 126161621
    44491439 + 44491441 + 44491451 = 133474331
    45390533 + 45390547 + 45390551 = 136171631
    45946211 + 45946259 + 45946261 = 137838731
    47043683 + 47043691 + 47043767 = 141131141
    47161369 + 47161379 + 47161393 = 141484141
    47417401 + 47417411 + 47417429 = 142252241
    47767771 + 47767781 + 47767789 = 143303341
    50882077 + 50882081 + 50882093 = 152646251
    52087543 + 52087549 + 52087559 = 156262651
    52740931 + 52740949 + 52740971 = 158222851
    53006971 + 53006981 + 53006999 = 159020951
    53339983 + 53340037 + 53340041 = 160020061
    53824717 + 53824721 + 53824723 = 161474161
    54228749 + 54228751 + 54228761 = 162686261
    54764141 + 54764159 + 54764161 = 164292461
    55053847 + 55053851 + 55053863 = 165161561
    55518539 + 55518559 + 55518563 = 166555661
    56272943 + 56272949 + 56272969 = 168818861
    56946017 + 56946023 + 56946031 = 170838071
    57636401 + 57636433 + 57636437 = 172909271
    58326487 + 58326491 + 58326493 = 174979471
    58518511 + 58518527 + 58518533 = 175555571
    58582499 + 58582519 + 58582553 = 175747571
    59552263 + 59552279 + 59552329 = 178656871
    59686951 + 59687009 + 59687011 = 179060971
    59925979 + 59925991 + 59926001 = 179777971
    60370381 + 60370397 + 60370403 = 181111181
    61208759 + 61208809 + 61208813 = 183626381
    61865189 + 61865191 + 61865201 = 185595581
    62188549 + 62188561 + 62188571 = 186565681
    62370587 + 62370593 + 62370601 = 187111781
    62791283 + 62791291 + 62791307 = 188373881
    63242651 + 63242653 + 63242677 = 189727981
    63946013 + 63946081 + 63946097 = 191838191
    64690147 + 64690163 + 64690181 = 194070491
    64764137 + 64764157 + 64764197 = 194292491
    64999819 + 64999829 + 64999843 = 194999491
    66043949 + 66043969 + 66043973 = 198131891
    66151621 + 66151627 + 66151643 = 198454891
    101016733 + 101016767 + 101016803 = 303050303
    101040413 + 101040427 + 101040463 = 303121303
    101919149 + 101919157 + 101919197 = 305757503
    102309853 + 102309863 + 102309887 = 306929603
    103427323 + 103427339 + 103427351 = 310282013
    103460989 + 103461011 + 103461013 = 310383013
    104760793 + 104760797 + 104760823 = 314282413
    105542191 + 105542201 + 105542221 = 316626613
    105973229 + 105973237 + 105973247 = 317919713
    106090913 + 106090921 + 106090979 = 318272813
    106471619 + 106471633 + 106471661 = 319414913
    107387053 + 107387081 + 107387089 = 322161223
    108077467 + 108077477 + 108077479 = 324232423
    109936291 + 109936313 + 109936319 = 329808923
    111013423 + 111013453 + 111013457 = 333040333
    111824789 + 111824803 + 111824941 = 335474533
    113653009 + 113653013 + 113653021 = 340959043
    113723711 + 113723713 + 113723719 = 341171143
    113754031 + 113754041 + 113754071 = 341262143
    114070729 + 114070751 + 114070763 = 342212243
    115117823 + 115117853 + 115117867 = 345353543
    115562191 + 115562219 + 115562233 = 346686643
    116481623 + 116481641 + 116481679 = 349444943
    116818007 + 116818019 + 116818027 = 350454053
    116993003 + 116993021 + 116993029 = 350979053
    118666871 + 118666879 + 118666903 = 356000653
    120865079 + 120865091 + 120865093 = 362595263
    121003439 + 121003453 + 121003471 = 363010363
    121144781 + 121144783 + 121144799 = 363434363
    121565471 + 121565491 + 121565501 = 364696463
    122353571 + 122353589 + 122353603 = 367060763
    122777939 + 122777953 + 122777971 = 368333863
    124882133 + 124882159 + 124882181 = 374646473
    124979797 + 124979837 + 124979839 = 374939473
    126427649 + 126427661 + 126427663 = 379282973
    126508649 + 126508651 + 126508673 = 379525973
    126592639 + 126592643 + 126592691 = 379777973
    127993123 + 127993127 + 127993133 = 383979383
    128626159 + 128626207 + 128626217 = 385878583
    129370613 + 129370627 + 129370643 = 388111883
    130407383 + 130407397 + 130407413 = 391222193
    130824761 + 130824763 + 130824769 = 392474293
    131545481 + 131545501 + 131545511 = 394636493
    131909189 + 131909201 + 131909203 = 395727593
    131966179 + 131966201 + 131966213 = 395898593
    133161653 + 133161667 + 133161673 = 399484993

    Paul.

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