160302(3)

Ruby

Ramanujan prime(2)

n が5000 以下の場合を求めてみた。

def A104272(n)
  # xは大きな数
  x = 10 ** 6
  ary = [0]
  a = Array.new(x + 1, 1)
  l = 0
  a[0] = l
  a[1] = l
  i = 2

  while i * i <= x
    # 素数のとき
    if a[i] == 1
      l += 1
      ary[l - a[i / 2]] = i
      j = i + i
      while j <= x
        a[j] = 0
        j += i
      end
    end
    a[i] = l
    i += 1
  end

  while i <= x
    # 素数のとき
    if a[i] == 1
      l += 1
      ary[l - a[i / 2]] = i
    end
    a[i] = l
    i += 1
  end
  ary[1..n]
end

p A104272(5000)

出力結果
[2, 11, 17, 29, 41, 47, 59, 67, 71, 97, 101, 107, 127, 149, 151, 167, 179, 181, 227, 229, 233, 239, 241, 263, 269, 281, 307, 311, 347, 349, 367, 373, 401, 409, 419, 431, 433, 439, 461, 487, 491, 503, 569, 571, 587, 593, 599, 601, 607, 641, 643, 647, 653, 659, 677, 719, 727, 739, 751, 769, 809, 821, 823, 827, 853, 857, 881, 937, 941, 947, 967, 983, 1009, 1019, 1021, 1031, 1049, 1051, 1061, 1063, 1087, 1091, 1097, 1103, 1151, 1163, 1187, 1217, 1229, 1249, 1277, 1289, 1297, 1301, 1367, 1373, 1423, 1427, 1429, 1439, 1447, 1451, 1481, 1487, 1489, 1523, 1549, 1553, 1559, 1567, 1579, 1597, 1601, 1607, 1609, 1663, 1667, 1693, 1721, 1733, 1777, 1783, 1787, 1789, 1823, 1861, 1867, 1871, 1877, 1907, 1913, 1973, 1987, 1997, 1999, 2003, 2027, 2081, 2083, 2087, 2129, 2131, 2141, 2207, 2237, 2239, 2267, 2269, 2273, 2281, 2287, 2309, 2333, 2339, 2347, 2351, 2377, 2381, 2389, 2393, 2411, 2437, 2467, 2521, 2531, 2617, 2657, 2659, 2663, 2671, 2677, 2683, 2687, 2689, 2693, 2699, 2707, 2711, 2713, 2729, 2749, 2767, 2777, 2789, 2791, 2801, 2819, 2833, 2879, 2909, 2999, 3001, 3011, 3023, 3037, 3049, 3067, 3167, 3169, 3181, 3251, 3257, 3259, 3299, 3301, 3307, 3319, 3343, 3347, 3359, 3361, 3371, 3449, 3457, 3461, 3467, 3511, 3527, 3529, 3533, 3539, 3541, 3581, 3583, 3607, 3613, 3623, 3631, 3637, 3671, 3673, 3677, 3697, 3761, 3767, 3779, 3793, 3821, 3833, 3847, 3851, 3877, 3907, 3911, 3917, 3919, 3923, 4001, 4007, 4013, 4019, 4049, 4079, 4091, 4093, 4127, 4129, 4201, 4211, 4229, 4231, 4241, 4243, 4259, 4327, 4337, 4339, 4349, 4363, 4373, 4391, 4421, 4447, 4451, 4481, 4507, 4513, 4547, 4549, 4597, 4637, 4639, 4643, 4649, 4651, 4721, 4787, 4789, 4799, 4801, 4861, 4903, 4919, 4931, 4937, 4957, 4967, 4969, 4973, 4987, 4993, 4999, 5009, 5011, 5021, 5023, 5051, 5099, 5107, 5119, 5147, 5167, 5189, 5197, 5227, 5231, 5273, 5387, 5399, 5407, 5431, 5441, 5471, 5477, 5501, 5507, 5519, 5521, 5557, 5639, 5641, 5647, 5651, 5653, 5657, 5689, 5693, 5737, 5741, 5779, 5783, 5807, 5821, 5839, 5843, 5849, 5857, 5861, 5867, 5879, 5881, 5953, 6007, 6029, 6047, 6053, 6067, 6089, 6101, 6113, 6131, 6143, 6197, 6199, 6203, 6211, 6247, 6257, 6263, 6269, 6277, 6287, 6299, 6301, 6311, 6317, 6343, 6353, 6359, 6367, 6449, 6521, 6547, 6551, 6553, 6563, 6569, 6571, 6659, 6673, 6689, 6701, 6703, 6761, 6779, 6791, 6793, 6827, 6829, 6833, 6841, 6857, 6869, 6947, 6949, 6959, 6961, 6967, 6971, 6983, 6991, 7001, 7121, 7127, 7187, 7193, 7207, 7211, 7237, 7297, 7307, 7321, 7411, 7457, 7481, 7487, 7489, 7499, 7507, 7523, 7541, 7547, 7559, 7561, 7573, 7577, 7589, 7607, 7621, 7669, 7673, 7681, 7687, 7717, 7727, 7741, 7867, 7873, 7877, 7901, 7907, 7919, 7927, 7937, 7949, 8059, 8069, 8081, 8087, 8089, 8117, 8161, 8167, 8209, 8219, 8231, 8233, 8269, 8287, 8291, 8293, 8329, 8363, 8369, 8377, 8387, 8423, 8527, 8537, 8597, 8599, 8609, 8623, 8627, 8629, 8641, 8663, 8681, 8689, 8699, 8707, 8731, 8737, 8747, 8753, 8761, 8803, 8819, 8821, 8831, 8849, 8861, 8929, 8933, 8941, 8969, 8999, 9001, 9041, 9049, 9059, 9103, 9127, 9137, 9151, 9157, 9173, 9199, 9209, 9221, 9227, 9239, 9319, 9337, 9341, 9371, 9391, 9397, 9413, 9419, 9421, 9431, 9461, 9467, 9473, 9479, 9491, 9521, 9613, 9619, 9629, 9643, 9649, 9677, 9679, 9689, 9697, 9719, 9733, 9743, 9767, 9781, 9787, 9791, 9811, 9829, 9839, 9851, 9887, 10061, 10067, 10079, 10091, 10093, 10103, 10133, 10139, 10141, 10163, 10243, 10247, 10253, 10259, 10267, 10271, 10273, 10301, 10313, 10321, 10331, 10343, 10427, 10429, 10433, 10477, 10487, 10499, 10501, 10567, 10597, 10607, 10627, 10631, 10651, 10657, 10667, 10709, 10711, 10723, 10729, 10733, 10847, 10853, 10889, 10903, 10909, 10973, 11057, 11069, 11071, 11083, 11087, 11093, 11149, 11159, 11171, 11173, 11197, 11213, 11239, 11251, 11257, 11321, 11351, 11393, 11437, 11443, 11447, 11489, 11491, 11503, 11519, 11527, 11587, 11777, 11779, 11783, 11807, 11813, 11821, 11827, 11831, 11863, 11887, 11897, 11909, 11923, 11927, 11933, 11939, 11941, 11953, 11969, 11981, 11987, 12037, 12041, 12097, 12107, 12109, 12113, 12149, 12203, 12227, 12239, 12251, 12269, 12277, 12289, 12329, 12347, 12373, 12377, 12409, 12413, 12451, 12473, 12479, 12487, 12497, 12503, 12539, 12547, 12577, 12583, 12611, 12637, 12647, 12689, 12739, 12781, 12799, 12809, 12821, 12823, 12829, 12889, 12907, 12911, 12917, 12919, 12953, 12967, 12973, 12983, 13001, 13003, 13007, 13009, 13033, 13043, 13063, 13147, 13163, 13171, 13177, 13217, 13219, 13241, 13249, 13259, 13291, 13327, 13331, 13411, 13441, 13451, 13457, 13477, 13487, 13499, 13591, 13613, 13669, 13679, 13687, 13691, 13693, 13697, 13709, 13751, 13757, 13759, 13781, 13829, 13841, 13859, 13873, 13877, 13901, 13997, 14009, 14029, 14057, 14081, 14143, 14149, 14159, 14173, 14177, 14243, 14281, 14321, 14323, 14327, 14387, 14389, 14401, 14407, 14431, 14447, 14519, 14533, 14537, 14543, 14549, 14551, 14557, 14621, 14627, 14629, 14633, 14669, 14713, 14717, 14723, 14731, 14741, 14747, 14753, 14759, 14767, 14771, 14779, 14797, 14813, 14827, 14843, 14867, 14869, 14879, 14923, 14929, 14939, 15061, 15101, 15131, 15187, 15217, 15227, 15233, 15259, 15263, 15269, 15287, 15299, 15307, 15313, 15319, 15349, 15359, 15383, 15413, 15439, 15461, 15467, 15527, 15541, 15551, 15559, 15581, 15601, 15607, 15619, 15641, 15647, 15661, 15667, 15671, 15727, 15731, 15767, 15773, 15787, 15791, 15877, 15881, 15887, 15907, 15913, 15919, 15937, 15959, 15971, 15991, 16057, 16061, 16063, 16067, 16069, 16087, 16091, 16187, 16189, 16223, 16249, 16253, 16267, 16301, 16361, 16363, 16369, 16411, 16421, 16477, 16487, 16547, 16603, 16607, 16631, 16649, 16651, 16661, 16673, 16691, 16693, 16741, 16787, 16811, 16871, 16879, 16901, 16903, 16927, 16937, 16943, 16963, 16979, 16981, 16987, 17011, 17027, 17029, 17093, 17099, 17107, 17117, 17167, 17183, 17203, 17291, 17299, 17317, 17327, 17341, 17387, 17389, 17417, 17443, 17467, 17483, 17489, 17509, 17569, 17573, 17579, 17581, 17597, 17681, 17737, 17747, 17749, 17789, 17791, 17807, 17827, 17837, 17903, 17909, 17911, 17921, 17957, 17959, 17971, 18041, 18043, 18047, 18059, 18119, 18121, 18127, 18131, 18143, 18149, 18169, 18191, 18211, 18223, 18229, 18233, 18251, 18287, 18289, 18307, 18329, 18367, 18379, 18427, 18433, 18443, 18457, 18493, 18517, 18521, 18523, 18587, 18701, 18713, 18719, 18899, 18959, 19001, 19009, 19031, 19069, 19079, 19121, 19139, 19141, 19157, 19181, 19207, 19211, 19213, 19267, 19301, 19379, 19381, 19387, 19403, 19417, 19421, 19423, 19427, 19429, 19447, 19457, 19469, 19471, 19501, 19541, 19543, 19681, 19687, 19697, 19727, 19751, 19753, 19777, 19793, 19819, 19841, 19889, 19913, 19919, 19949, 19961, 19963, 19973, 19979, 19991, 19993, 20021, 20023, 20029, 20047, 20051, 20089, 20101, 20107, 20113, 20143, 20147, 20161, 20231, 20233, 20327, 20341, 20347, 20357, 20389, 20393, 20399, 20407, 20431, 20441, 20507, 20549, 20551, 20693, 20717, 20719, 20743, 20747, 20749, 20753, 20759, 20771, 20807, 20873, 20879, 20887, 20929, 20939, 20959, 20981, 21011, 21013, 21017, 21019, 21059, 21067, 21089, 21101, 21139, 21143, 21149, 21157, 21163, 21179, 21187, 21269, 21317, 21341, 21377, 21383, 21391, 21481, 21487, 21491, 21493, 21499, 21517, 21521, 21523, 21557, 21563, 21569, 21587, 21599, 21601, 21611, 21613, 21617, 21647, 21737, 21739, 21751, 21787, 21799, 21821, 21839, 21841, 21851, 21859, 21881, 21929, 21991, 21997, 22013, 22027, 22031, 22037, 22039, 22063, 22067, 22073, 22079, 22091, 22123, 22147, 22153, 22247, 22271, 22273, 22277, 22279, 22367, 22369, 22381, 22397, 22433, 22441, 22447, 22453, 22531, 22541, 22567, 22613, 22637, 22643, 22669, 22679, 22691, 22709, 22717, 22721, 22739, 22741, 22769, 22777, 22807, 22853, 22859, 22901, 22907, 22943, 23011, 23017, 23021, 23027, 23039, 23041, 23057, 23059, 23063, 23071, 23081, 23117, 23131, 23159, 23197, 23201, 23203, 23269, 23279, 23291, 23293, 23297, 23321, 23327, 23333, 23447, 23497, 23509, 23531, 23537, 23539, 23561, 23581, 23593, 23603, 23669, 23671, 23687, 23741, 23743, 23747, 23753, 23761, 23767, 23819, 23827, 23869, 23887, 23893, 23909, 23977, 23981, 23993, 24001, 24023, 24029, 24043, 24049, 24061, 24091, 24103, 24107, 24109, 24113, 24121, 24151, 24169, 24329, 24337, 24359, 24371, 24373, 24407, 24413, 24419, 24439, 24509, 24527, 24611, 24659, 24671, 24677, 24697, 24763, 24767, 24793, 24847, 24877, 24917, 24919, 24923, 24967, 25031, 25111, 25117, 25121, 25147, 25169, 25229, 25243, 25301, 25307, 25321, 25343, 25349, 25357, 25409, 25411, 25447, 25453, 25457, 25537, 25541, 25577, 25583, 25601, 25603, 25621, 25633, 25667, 25673, 25693, 25717, 25733, 25741, 25747, 25847, 25849, 25867, 25889, 25919, 25931, 25969, 25981, 26021, 26099, 26107, 26111, 26113, 26141, 26153, 26161, 26171, 26177, 26227, 26249, 26261, 26263, 26267, 26309, 26387, 26393, 26399, 26407, 26417, 26423, 26459, 26489, 26539, 26557, 26627, 26681, 26683, 26687, 26693, 26699, 26701, 26711, 26713, 26717, 26723, 26729, 26737, 26801, 26813, 26849, 26861, 26863, 26879, 26891, 26947, 26951, 26981, 26987, 27011, 27031, 27059, 27061, 27067, 27077, 27091, 27107, 27109, 27239, 27241, 27271, 27397, 27427, 27449, 27527, 27529, 27539, 27581, 27617, 27631, 27689, 27691, 27697, 27733, 27737, 27739, 27767, 27773, 27779, 27791, 27793, 27817, 27883, 27893, 27901, 27941, 27943, 27947, 27953, 27961, 27967, 28027, 28031, 28069, 28081, 28087, 28097, 28181, 28183, 28201, 28219, 28229, 28277, 28279, 28307, 28349, 28387, 28403, 28409, 28429, 28433, 28447, 28463, 28513, 28517, 28537, 28541, 28547, 28549, 28571, 28573, 28591, 28597, 28607, 28619, 28621, 28627, 28657, 28661, 28663, 28697, 28703, 28711, 28723, 28751, 28753, 28789, 28807, 28901, 28909, 28927, 28933, 29009, 29017, 29129, 29131, 29137, 29147, 29153, 29167, 29191, 29201, 29207, 29209, 29287, 29297, 29327, 29339, 29347, 29383, 29387, 29399, 29567, 29569, 29573, 29581, 29599, 29663, 29669, 29741, 29803, 29819, 29833, 29863, 29917, 29921, 29947, 29983, 29989, 30011, 30047, 30071, 30089, 30091, 30097, 30109, 30113, 30133, 30169, 30187, 30203, 30223, 30253, 30307, 30313, 30323, 30389, 30403, 30467, 30491, 30493, 30631, 30643, 30671, 30677, 30689, 30757, 30803, 30809, 30829, 30839, 30841, 30851, 30859, 30869, 30937, 30949, 30971, 31013, 31033, 31039, 31063, 31069, 31121, 31139, 31147, 31151, 31177, 31181, 31183, 31219, 31223, 31231, 31247, 31249, 31307, 31319, 31379, 31387, 31481, 31511, 31513, 31541, 31547, 31649, 31657, 31663, 31667, 31687, 31721, 31723, 31847, 31849, 31859, 31957, 31963, 31973, 32003, 32027, 32029, 32051, 32057, 32059, 32069, 32077, 32141, 32183, 32189, 32233, 32237, 32297, 32299, 32303, 32309, 32321, 32323, 32327, 32341, 32353, 32359, 32369, 32401, 32411, 32413, 32467, 32479, 32491, 32507, 32531, 32561, 32563, 32569, 32573, 32579, 32603, 32609, 32611, 32621, 32687, 32707, 32771, 32779, 32783, 32789, 32797, 32909, 32911, 32917, 32933, 32939, 32969, 32987, 32993, 32999, 33013, 33023, 33029, 33049, 33071, 33073, 33149, 33151, 33161, 33179, 33181, 33191, 33287, 33329, 33331, 33347, 33349, 33353, 33409, 33413, 33427, 33461, 33469, 33487, 33529, 33533, 33547, 33563, 33577, 33581, 33587, 33589, 33599, 33601, 33613, 33617, 33623, 33629, 33703, 33713, 33721, 33749, 33767, 33769, 33809, 33811, 33827, 33889, 33893, 33911, 34123, 34127, 34129, 34141, 34157, 34159, 34211, 34253, 34259, 34261, 34267, 34283, 34297, 34301, 34303, 34319, 34337, 34421, 34429, 34439, 34469, 34483, 34487, 34499, 34501, 34511, 34519, 34537, 34543, 34589, 34603, 34607, 34667, 34673, 34687, 34721, 34729, 34841, 34843, 34847, 34871, 35023, 35051, 35053, 35059, 35081, 35083, 35089, 35107, 35111, 35117, 35221, 35257, 35267, 35279, 35281, 35291, 35323, 35339, 35381, 35393, 35401, 35419, 35437, 35507, 35509, 35527, 35531, 35533, 35537, 35591, 35729, 35731, 35747, 35753, 35797, 35831, 35863, 35879, 35897, 35963, 35983, 35993, 35999, 36007, 36011, 36013, 36037, 36061, 36131, 36137, 36187, 36209, 36269, 36299, 36307, 36313, 36341, 36467, 36469, 36473, 36523, 36527, 36541, 36551, 36559, 36629, 36637, 36643, 36671, 36683, 36691, 36709, 36713, 36761, 36767, 36779, 36781, 36787, 36809, 36833, 36887, 36899, 36923, 36929, 36931, 36943, 36973, 36997, 37013, 37049, 37087, 37117, 37123, 37139, 37189, 37199, 37201, 37217, 37243, 37253, 37277, 37307, 37309, 37313, 37337, 37361, 37363, 37369, 37441, 37463, 37489, 37501, 37507, 37517, 37529, 37547, 37549, 37561, 37567, 37571, 37607, 37619, 37633, 37643, 37649, 37657, 37691, 37693, 37747, 37781, 37847, 37853, 37861, 37871, 37879, 37951, 37963, 37967, 37987, 37991, 38039, 38047, 38177, 38183, 38189, 38197, 38201, 38219, 38231, 38237, 38261, 38287, 38299, 38317, 38327, 38329, 38447, 38557, 38561, 38567, 38603, 38609, 38639, 38651, 38669, 38671, 38677, 38693, 38699, 38707, 38711, 38713, 38723, 38783, 38867, 38917, 39019, 39023, 39041, 39089, 39097, 39107, 39119, 39157, 39161, 39181, 39209, 39227, 39229, 39233, 39239, 39241, 39251, 39293, 39301, 39313, 39323, 39341, 39343, 39367, 39371, 39439, 39443, 39509, 39541, 39563, 39607, 39619, 39659, 39667, 39709, 39727, 39749, 39761, 39791, 39799, 39827, 39839, 39841, 39857, 39863, 39877, 39929, 39971, 40009, 40063, 40087, 40111, 40127, 40151, 40153, 40163, 40169, 40357, 40423, 40427, 40471, 40483, 40487, 40499, 40507, 40529, 40543, 40577, 40583, 40739, 40751, 40759, 40801, 40823, 40829, 40841, 40847, 40849, 40867, 40897, 40903, 40927, 40933, 40973, 40993, 41023, 41047, 41113, 41131, 41141, 41143, 41149, 41161, 41177, 41179, 41201, 41203, 41213, 41227, 41231, 41233, 41257, 41263, 41333, 41341, 41351, 41387, 41389, 41507, 41519, 41521, 41579, 41593, 41597, 41603, 41609, 41621, 41627, 41641, 41647, 41651, 41659, 41669, 41719, 41759, 41809, 41843, 41849, 41879, 41887, 41897, 41927, 41941, 41947, 41953, 41969, 41981, 41983, 42071, 42073, 42083, 42139, 42157, 42179, 42181, 42187, 42193, 42221, 42223, 42227, 42281, 42299, 42331, 42391, 42397, 42403, 42407, 42433, 42443, 42457, 42461, 42463, 42467, 42473, 42487, 42499, 42569, 42571, 42641, 42649, 42667, 42683, 42697, 42701, 42703, 42709, 42719, 42727, 42767, 42821, 42839, 42841, 42853, 42859, 42899, 42901, 42923, 42937, 42943, 43049, 43063, 43237, 43261, 43271, 43313, 43391, 43397, 43403, 43427, 43481, 43541, 43577, 43579, 43607, 43609, 43613, 43649, 43651, 43753, 43777, 43781, 43787, 43789, 43889, 43891, 43933, 43943, 43961, 43963, 43969, 43987, 44017, 44027, 44029, 44087, 44089, 44111, 44159, 44189, 44201, 44249, 44267, 44351, 44357, 44381, 44389, 44417, 44449, 44483, 44497, 44501, 44519, 44617, 44621, 44623, 44633, 44641, 44647, 44651, 44657, 44699, 44701, 44741, 44771, 44773, 44797, 44819, 44839, 44843, 44867, 44909, 44917, 44939, 44953, 44971, 44983, 45007, 45119, 45121, 45127, 45161, 45179, 45181, 45247, 45289, 45307, 45317, 45319, 45329, 45341, 45491, 45503, 45523, 45541, 45587, 45589, 45641, 45659, 45667, 45673, 45677, 45757, 45763, 45817, 45821, 45823, 45827, 45833, 45853, 45949, 45953, 45959, 46133, 46147, 46181, 46183, 46199, 46219, 46237, 46271, 46273, 46301, 46307, 46439, 46441, 46447, 46457, 46471, 46477, 46489, 46507, 46511, 46559, 46589, 46601, 46633, 46679, 46681, 46687, 46691, 46747, 46751, 46757, 46769, 46807, 46811, 46817, 46819, 46829, 46853, 46867, 46877, 46919, 46957, 46997, 47041, 47087, 47137, 47269, 47279, 47287, 47293, 47297, 47303, 47381, 47387, 47389, 47407, 47417, 47419, 47497, 47507, 47513, 47527, 47563, 47581, 47591, 47609, 47639, 47681, 47699, 47701, 47711, 47777, 47791, 47837, 47843, 47869, 47881, 47903, 47917, 47933, 47963, 48017, 48073, 48109, 48247, 48281, 48311, 48313, 48371, 48407, 48409, 48413, 48463, 48479, 48481, 48487, 48523, 48527, 48533, 48539, 48563, 48571, 48589, 48593, 48611, 48619, 48647, 48661, 48677, 48751, 48761, 48767, 48779, 48787, 48799, 48847, 48857, 48859, 48869, 48947, 48973, 48989, 49003, 49019, 49031, 49037, 49103, 49109, 49117, 49121, 49123, 49157, 49169, 49171, 49193, 49199, 49201, 49207, 49253, 49277, 49279, 49297, 49331, 49367, 49391, 49409, 49411, 49429, 49433, 49451, 49459, 49477, 49499, 49529, 49537, 49547, 49603, 49627, 49633, 49663, 49667, 49727, 49739, 49741, 49783, 49787, 49789, 49801, 49807, 49853, 49871, 49919, 49921, 49991, 49993, 49999, 50021, 50033, 50047, 50077, 50087, 50093, 50101, 50119, 50123, 50129, 50147, 50153, 50261, 50263, 50273, 50311, 50329, 50359, 50383, 50387, 50411, 50497, 50527, 50539, 50543, 50549, 50551, 50581, 50647, 50753, 50767, 50773, 50833, 50849, 50857, 50951, 50957, 50969, 50971, 50989, 50993, 51001, 51031, 51047, 51059, 51131, 51133, 51193, 51197, 51229, 51239, 51287, 51341, 51347, 51407, 51413, 51419, 51421, 51427, 51437, 51439, 51449, 51473, 51479, 51503, 51511, 51551, 51563, 51577, 51607, 51613, 51631, 51647, 51659, 51673, 51713, 51749, 51767, 51787, 51797, 51827, 51839, 51893, 51907, 51913, 51941, 51971, 52009, 52051, 52067, 52069, 52121, 52127, 52147, 52153, 52177, 52181, 52249, 52253, 52259, 52289, 52361, 52379, 52433, 52541, 52543, 52553, 52561, 52567, 52571, 52627, 52667, 52697, 52709, 52721, 52727, 52747, 52807, 52879, 52883, 52901, 52919, 52937, 52951, 52963, 52967, 53003, 53047, 53051, 53069, 53087, 53089, 53093, 53101, 53147, 53149, 53161, 53171, 53197, 53201, 53231, 53267, 53269, 53299, 53479, 53503, 53527, 53569, 53591, 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