In What Years Do We Light a Menorah on Christmas Eve? By Shalosh B. Ekhad In the following Gregorian years, starting at 1801 and ending at 20000, Christmas happens to be in Hanukkah [1802, 1810, 1813, 1818, 1821, 1826, 1829, 1837, 1840, 1843, 1845, 1848, 1851, 1856, 1859, 1864, 1867, 1870, 1872, 1875, 1878, 1883, 1886, 1889, 1894, 1897, 1902, 1905, 1908, 1913, 1916, 1924, 1927, 1932, 1935, 1938, 1940, 1943, 1946, 1951, 1954, 1957, 1962, 1965, 1970, 1973, 1978, 1981, 1984, 1989, 1992, 1995, 1997, 2000, 2003, 2008, 2011, 2016, 2019, 2022, 2027, 2030, 2038, 2041, 2046, 2049, 2057, 2060, 2065, 2068, 2073, 2076, 2079, 2084, 2087, 2092, 2095, 2098, 2103, 2106, 2109, 2114, 2117, 2122, 2125, 2128, 2130, 2133, 2136, 2141, 2144, 2147, 2149, 2152, 2155, 2160, 2163, 2168, 2171, 2174, 2179, 2182, 2185, 2190, 2193, 2198, 2201, 2204, 2209, 2212, 2215, 2217, 2220, 2223, 2228, 2231, 2236, 2239, 2242, 2244, 2247, 2250, 2255, 2258, 2261, 2266, 2269, 2274, 2277, 2280, 2285, 2288, 2293, 2296, 2299, 2304, 2307, 2310, 2312, 2315, 2318, 2323, 2326, 2329, 2334, 2337, 2342, 2345, 2348, 2350, 2353, 2356, 2361, 2364, 2367, 2369, 2372, 2375, 2380, 2383, 2388, 2391, 2394, 2399, 2402, 2410, 2413, 2418, 2421, 2429, 2432, 2437, 2440, 2443, 2445, 2448, 2451, 2456, 2459, 2462, 2464, 2467, 2470, 2475, 2478, 2483, 2486, 2489, 2494, 2497, 2500, 2502, 2505, 2508, 2513, 2516, 2519, 2524, 2527, 2532, 2535, 2543, 2546, 2551, 2554, 2557, 2562, 2565, 2570, 2573, 2576, 2581, 2584, 2589, 2592, 2595, 2597, 2600, 2603, 2608, 2611, 2614, 2619, 2622, 2630, 2633, 2638, 2641, 2649, 2652, 2657, 2660, 2665, 2668, 2671, 2676, 2679, 2684, 2687, 2690, 2695, 2698, 2701, 2706, 2709, 2714, 2717, 2720, 2722, 2725, 2728, 2733, 2736, 2739, 2741, 2744, 2747, 2752, 2755, 2763, 2766, 2771, 2774, 2777, 2782, 2785, 2790, 2793, 2796, 2801, 2804, 2809, 2812, 2815, 2817, 2820, 2823, 2828, 2831, 2834, 2836, 2839, 2842, 2847, 2850, 2858, 2861, 2866, 2869, 2877, 2880, 2885, 2888, 2896, 2899, 2904, 2907, 2910, 2915, 2918, 2923, 2926, 2929, 2934, 2937, 2942, 2945, 2948, 2953, 2956, 2961, 2964, 2967, 2969, 2972, 2975, 2980, 2983, 2986, 2988, 2991, 2994, 2999, 3002, 3005, 3010, 3013, 3021, 3024, 3029, 3032, 3035, 3037, 3040, 3043, 3048, 3051, 3054, 3056, 3059, 3062, 3067, 3070, 3075, 3078, 3081, 3086, 3089, 3094, 3097, 3100, 3105, 3108, 3111, 3116, 3119, 3124, 3127, 3130, 3135, 3138, 3143, 3146, 3149, 3154, 3157, 3162, 3165, 3168, 3173, 3176, 3181, 3184, 3187, 3189, 3192, 3195, 3200, 3203, 3206, 3208, 3211, 3214, 3219, 3222, 3230, 3233, 3238, 3241, 3249, 3252, 3257, 3260, 3268, 3271, 3276, 3279, 3282, 3284, 3287, 3290, 3295, 3298, 3301, 3306, 3309, 3314, 3317, 3320, 3325, 3328, 3333, 3336, 3339, 3341, 3344, 3347, 3352, 3355, 3358, 3363, 3366, 3371, 3374, 3382, 3385, 3390, 3393, 3396, 3401, 3404, 3407, 3409, 3412, 3415, 3420, 3423, 3426, 3428, 3431, 3434, 3439, 3442, 3450, 3453, 3458, 3461, 3469, 3472, 3477, 3480, 3485, 3488, 3491, 3496, 3499, 3502, 3507, 3510, 3515, 3518, 3521, 3526, 3529, 3534, 3537, 3540, 3545, 3548, 3553, 3556, 3559, 3561, 3564, 3567, 3572, 3575, 3578, 3580, 3583, 3586, 3591, 3594, 3602, 3605, 3610, 3613, 3616, 3621, 3624, 3629, 3632, 3635, 3640, 3643, 3648, 3651, 3654, 3656, 3659, 3662, 3667, 3670, 3673, 3675, 3678, 3681, 3686, 3689, 3697, 3700, 3705, 3708, 3711, 3716, 3719, 3724, 3727, 3730, 3735, 3738, 3743, 3746, 3749, 3754, 3757, 3762, 3765, 3768, 3773, 3776, 3779, 3781, 3784, 3787, 3792, 3795, 3800, 3803, 3806, 3811, 3814, 3822, 3825, 3830, 3833, 3841, 3844, 3849, 3852, 3860, 3863, 3868, 3871, 3874, 3876, 3879, 3882, 3887, 3890, 3893, 3895, 3898, 3901, 3906, 3909, 3912, 3917, 3920, 3925, 3928, 3931, 3933, 3936, 3939, 3944, 3947, 3950, 3955, 3958, 3963, 3966, 3974, 3977, 3982, 3985, 3988, 3993, 3996, 4001, 4004, 4007, 4012, 4015, 4020, 4023, 4026, 4028, 4031, 4034, 4039, 4042, 4045, 4050, 4053, 4058, 4061, 4069, 4072, 4077, 4080, 4083, 4088, 4091, 4096, 4099, 4102, 4107, 4110, 4115, 4118, 4121, 4126, 4129, 4134, 4137, 4140, 4145, 4148, 4153, 4156, 4159, 4164, 4167, 4172, 4175, 4178, 4180, 4183, 4186, 4191, 4194, 4197, 4202, 4205, 4208, 4213, 4216, 4221, 4224, 4232, 4235, 4240, 4243, 4246, 4248, 4251, 4254, 4259, 4262, 4265, 4267, 4270, 4273, 4278, 4281, 4284, 4289, 4292, 4297, 4300, 4303, 4308, 4311, 4316, 4319, 4322, 4327, 4330, 4335, 4338, 4341, 4346, 4349, 4354, 4357, 4360, 4365, 4368, 4373, 4376, 4379, 4384, 4387, 4392, 4395, 4398, 4400, 4403, 4406, 4411, 4414, 4417, 4422, 4425, 4430, 4433, 4436, 4441, 4444, 4449, 4452, 4455, 4460, 4463, 4468, 4471, 4479, 4482, 4487, 4490, 4493, 4498, 4501, 4506, 4509, 4512, 4517, 4520, 4523, 4525, 4528, 4531, 4536, 4539, 4544, 4547, 4550, 4555, 4558, 4566, 4569, 4574, 4577, 4582, 4585, 4588, 4593, 4596, 4599, 4604, 4607, 4612, 4615, 4618, 4620, 4623, 4626, 4631, 4634, 4637, 4642, 4645, 4650, 4653, 4656, 4661, 4664, 4669, 4672, 4675, 4680, 4683, 4688, 4691, 4699, 4702, 4707, 4710, 4713, 4718, 4721, 4726, 4729, 4732, 4737, 4740, 4745, 4748, 4751, 4756, 4759, 4764, 4767, 4770, 4772, 4775, 4778, 4786, 4789, 4794, 4797, 4802, 4805, 4808, 4813, 4816, 4821, 4824, 4827, 4832, 4835, 4840, 4843, 4851, 4854, 4859, 4862, 4865, 4870, 4873, 4878, 4881, 4884, 4886, 4889, 4892, 4897, 4900, 4903, 4908, 4911, 4916, 4919, 4922, 4927, 4930, 4938, 4941, 4946, 4949, 4954, 4957, 4960, 4965, 4968, 4971, 4973, 4976, 4979, 4984, 4987, 4992, 4995, 4998, 5003, 5006, 5009, 5014, 5017, 5022, 5025, 5028, 5033, 5036, 5041, 5044, 5047, 5052, 5055, 5060, 5063, 5071, 5074, 5079, 5082, 5085, 5090, 5093, 5098, 5101, 5104, 5109, 5112, 5115, 5117, 5120, 5123, 5128, 5131, 5136, 5139, 5142, 5147, 5150, 5158, 5161, 5166, 5169, 5174, 5177, 5180, 5185, 5188, 5191, 5193, 5196, 5199, 5204, 5207, 5212, 5215, 5218, 5223, 5226, 5231, 5234, 5237, 5242, 5245, 5250, 5253, 5256, 5261, 5264, 5269, 5272, 5275, 5280, 5283, 5288, 5291, 5294, 5299, 5302, 5305, 5310, 5313, 5318, 5321, 5326, 5329, 5332, 5337, 5340, 5343, 5345, 5348, 5351, 5356, 5359, 5362, 5364, 5367, 5370, 5375, 5378, 5386, 5389, 5394, 5397, 5400, 5405, 5408, 5413, 5416, 5419, 5424, 5427, 5432, 5435, 5443, 5446, 5451, 5454, 5457, 5462, 5465, 5470, 5473, 5476, 5478, 5481, 5484, 5489, 5492, 5495, 5500, 5503, 5508, 5511, 5514, 5519, 5522, 5530, 5533, 5538, 5541, 5546, 5549, 5552, 5557, 5560, 5563, 5565, 5568, 5571, 5576, 5579, 5584, 5587, 5590, 5595, 5598, 5603, 5606, 5609, 5614, 5617, 5622, 5625, 5628, 5633, 5636, 5639, 5641, 5644, 5647, 5652, 5655, 5660, 5663, 5666, 5671, 5674, 5679, 5682, 5690, 5693, 5698, 5701, 5704, 5709, 5712, 5715, 5720, 5723, 5728, 5731, 5734, 5739, 5742, 5747, 5750, 5758, 5761, 5766, 5769, 5777, 5780, 5785, 5788, 5791, 5793, 5796, 5799, 5804, 5807, 5810, 5815, 5818, 5823, 5826, 5829, 5834, 5837, 5842, 5845, 5848, 5853, 5856, 5861, 5864, 5867, 5872, 5875, 5880, 5883, 5886, 5891, 5894, 5899, 5902, 5905, 5910, 5913, 5921, 5924, 5929, 5932, 5935, 5937, 5940, 5943, 5948, 5951, 5954, 5956, 5959, 5962, 5967, 5970, 5978, 5981, 5986, 5989, 5994, 5997, 6000, 6005, 6008, 6011, 6013, 6016, 6019, 6024, 6027, 6032, 6035, 6038, 6043, 6046, 6051, 6054, 6057, 6062, 6065, 6070, 6073, 6076, 6081, 6084, 6087, 6089, 6092, 6095, 6100, 6103, 6106, 6111, 6114, 6119, 6122, 6130, 6133, 6138, 6141, 6144, 6149, 6152, 6157, 6160, 6163, 6168, 6171, 6176, 6179, 6182, 6184, 6187, 6190, 6195, 6198, 6201, 6206, 6209, 6214, 6217, 6220, 6225, 6228, 6231, 6233, 6236, 6239, 6244, 6247, 6252, 6255, 6258, 6263, 6266, 6271, 6274, 6282, 6285, 6290, 6293, 6296, 6301, 6304, 6307, 6312, 6315, 6320, 6323, 6326, 6328, 6331, 6334, 6339, 6342, 6350, 6353, 6358, 6361, 6369, 6372, 6377, 6380, 6383, 6388, 6391, 6396, 6399, 6402, 6404, 6407, 6410, 6415, 6418, 6423, 6426, 6429, 6434, 6437, 6442, 6445, 6448, 6453, 6456, 6459, 6461, 6464, 6467, 6472, 6475, 6478, 6480, 6483, 6486, 6491, 6494, 6499, 6502, 6505, 6510, 6513, 6516, 6521, 6524, 6529, 6532, 6535, 6540, 6543, 6548, 6551, 6554, 6559, 6562, 6567, 6570, 6573, 6575, 6578, 6581, 6586, 6589, 6597, 6600, 6605, 6608, 6611, 6616, 6619, 6624, 6627, 6630, 6635, 6638, 6643, 6646, 6649, 6654, 6657, 6662, 6665, 6668, 6673, 6676, 6681, 6684, 6687, 6692, 6695, 6703, 6706, 6711, 6714, 6722, 6725, 6730, 6733, 6741, 6744, 6749, 6752, 6760, 6763, 6768, 6771, 6776, 6779, 6782, 6787, 6790, 6795, 6798, 6801, 6806, 6809, 6817, 6820, 6825, 6828, 6833, 6836, 6839, 6844, 6847, 6852, 6855, 6858, 6863, 6866, 6874, 6877, 6882, 6885, 6890, 6893, 6896, 6901, 6904, 6912, 6915, 6920, 6923, 6931, 6934, 6939, 6942, 6947, 6950, 6953, 6958, 6961, 6969, 6972, 6977, 6980, 6988, 6991, 6996, 6999, 7007, 7010, 7015, 7018, 7026, 7029, 7034, 7037, 7045, 7048, 7053, 7056, 7064, 7067, 7072, 7075, 7083, 7086, 7091, 7094, 7102, 7105, 7113, 7121, 7124, 7132, 7140, 7143, 7151, 7159, 7162, 7167, 7170, 7178, 7181, 7189, 7197, 7200, 7208, 7216, 7219, 7227, 7235, 7238, 7246, 7254, 7257, 7262, 7265, 7273, 7276, 7281, 7284, 7292, 7295, 7303, 7311, 7314, 7322, 7330, 7333, 7341, 7349, 7352, 7360, 7368, 7371, 7379, 7387, 7390, 7398, 7409, 7417, 7425, 7428, 7436, 7444, 7447, 7455, 7466, 7474, 7482, 7485, 7493, 7504, 7512, 7523, 7531, 7539, 7542, 7550, 7561, 7569, 7580, 7588, 7599, 7607, 7618, 7626, 7634, 7637, 7645, 7656, 7664, 7672, 7675, 7683, 7694, 7702, 7713, 7721, 7732, 7740, 7751, 7759, 7770, 7778, 7786, 7789, 7797, 7808, 7827, 7846, 7854, 7865, 7873, 7884, 7892, 7903, 7922, 7941, 7960, 7979, 7998, 8006, 8017, 8036, 8044, 8055, 8074, 8093, 8112, 8150, 8169, 8188, 8226, 8264, 8378, 8473] As you can see the last year when that happens is 8473 After that Christmas is always after the last day of Hanukkah for very many years, and definitely until 20000 The gaps between successive Christmas-in-Hanukka years is [8, 3, 5, 3, 5, 3, 8, 3, 3, 2, 3, 3, 5, 3, 5, 3, 3, 2, 3, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 8, 3, 5, 3, 3, 2, 3, 3, 5, 3, 3, 5, 3, 5, 3, 5, 3, 3, 5, 3, 3, 2, 3, 3, 5, 3, 5, 3, 3, 5, 3, 8, 3, 5, 3, 8, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 3, 5, 3, 5, 3, 3, 2, 3, 3, 5, 3, 3, 2, 3, 3, 5, 3, 5, 3, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 3, 2, 3, 3, 5, 3, 5, 3, 3, 2, 3, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 3, 2, 3, 3, 5, 3, 3, 5, 3, 5, 3, 3, 2, 3, 3, 5, 3, 3, 2, 3, 3, 5, 3, 5, 3, 3, 5, 3, 8, 3, 5, 3, 8, 3, 5, 3, 3, 2, 3, 3, 5, 3, 3, 2, 3, 3, 5, 3, 5, 3, 3, 5, 3, 3, 2, 3, 3, 5, 3, 3, 5, 3, 5, 3, 8, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 2, 3, 3, 5, 3, 3, 5, 3, 8, 3, 5, 3, 8, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 3, 5, 3, 5, 3, 3, 2, 3, 3, 5, 3, 3, 2, 3, 3, 5, 3, 8, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 2, 3, 3, 5, 3, 3, 2, 3, 3, 5, 3, 8, 3, 5, 3, 8, 3, 5, 3, 8, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 2, 3, 3, 5, 3, 3, 2, 3, 3, 5, 3, 3, 5, 3, 8, 3, 5, 3, 3, 2, 3, 3, 5, 3, 3, 2, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 2, 3, 3, 5, 3, 3, 2, 3, 3, 5, 3, 8, 3, 5, 3, 8, 3, 5, 3, 8, 3, 5, 3, 3, 2, 3, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 2, 3, 3, 5, 3, 3, 5, 3, 5, 3, 8, 3, 5, 3, 3, 5, 3, 3, 2, 3, 3, 5, 3, 3, 2, 3, 3, 5, 3, 8, 3, 5, 3, 8, 3, 5, 3, 5, 3, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 2, 3, 3, 5, 3, 3, 2, 3, 3, 5, 3, 8, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 2, 3, 3, 5, 3, 3, 2, 3, 3, 5, 3, 8, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 3, 2, 3, 3, 5, 3, 5, 3, 3, 5, 3, 8, 3, 5, 3, 8, 3, 5, 3, 8, 3, 5, 3, 3, 2, 3, 3, 5, 3, 3, 2, 3, 3, 5, 3, 3, 5, 3, 5, 3, 3, 2, 3, 3, 5, 3, 3, 5, 3, 5, 3, 8, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 2, 3, 3, 5, 3, 3, 5, 3, 5, 3, 8, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 2, 3, 3, 5, 3, 3, 5, 3, 3, 5, 3, 5, 3, 8, 3, 5, 3, 3, 2, 3, 3, 5, 3, 3, 2, 3, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 2, 3, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 8, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 3, 2, 3, 3, 5, 3, 5, 3, 3, 5, 3, 8, 3, 5, 3, 5, 3, 3, 5, 3, 3, 5, 3, 5, 3, 3, 2, 3, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 8, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 2, 3, 3, 8, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 8, 3, 5, 3, 3, 5, 3, 5, 3, 3, 2, 3, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 8, 3, 5, 3, 5, 3, 3, 5, 3, 3, 2, 3, 3, 5, 3, 5, 3, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 8, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 3, 2, 3, 3, 5, 3, 5, 3, 3, 5, 3, 8, 3, 5, 3, 5, 3, 3, 5, 3, 3, 2, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 3, 5, 3, 5, 3, 5, 3, 3, 5, 3, 3, 2, 3, 3, 5, 3, 3, 2, 3, 3, 5, 3, 8, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 8, 3, 5, 3, 3, 5, 3, 5, 3, 3, 2, 3, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 8, 3, 5, 3, 5, 3, 3, 5, 3, 3, 2, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 3, 2, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 8, 3, 5, 3, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 8, 3, 5, 3, 8, 3, 5, 3, 3, 2, 3, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 8, 3, 5, 3, 3, 2, 3, 3, 5, 3, 3, 2, 3, 3, 5, 3, 8, 3, 5, 3, 5, 3, 3, 5, 3, 3, 2, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 3, 2, 3, 3, 5, 3, 3, 5, 3, 5, 3, 8, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 2, 3, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 3, 2, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 8, 3, 5, 3, 3, 5, 3, 3, 5, 3, 5, 3, 3, 2, 3, 3, 5, 3, 8, 3, 5, 3, 8, 3, 5, 3, 3, 5, 3, 5, 3, 3, 2, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 3, 2, 3, 3, 5, 3, 3, 2, 3, 3, 5, 3, 5, 3, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 2, 3, 3, 5, 3, 8, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 8, 3, 5, 3, 8, 3, 5, 3, 8, 3, 5, 3, 8, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 8, 3, 5, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 8, 3, 5, 3, 5, 3, 3, 5, 3, 8, 3, 5, 3, 8, 3, 5, 3, 5, 3, 3, 5, 3, 8, 3, 5, 3, 8, 3, 5, 3, 8, 3, 5, 3, 8, 3, 5, 3, 8, 3, 5, 3, 8, 3, 5, 3, 8, 3, 5, 3, 8, 3, 8, 8, 3, 8, 8, 3, 8, 8, 3, 5, 3, 8, 3, 8, 8, 3, 8, 8, 3, 8, 8, 3, 8, 8, 3, 5, 3, 8, 3, 5, 3, 8, 3, 8, 8, 3, 8, 8, 3, 8, 8, 3, 8, 8, 3, 8, 8, 3, 8, 11, 8, 8, 3, 8, 8, 3, 8, 11, 8, 8, 3, 8, 11, 8, 11, 8, 8, 3, 8, 11, 8, 11, 8, 11, 8, 11, 8, 8, 3, 8, 11, 8, 8, 3, 8, 11, 8, 11, 8, 11, 8, 11, 8, 11, 8, 8, 3, 8, 11, 19, 19, 8, 11, 8, 11, 8, 11, 19, 19, 19, 19, 19, 8, 11, 19, 8, 11, 19, 19, 19, 38, 19, 19, 38, 38, 114, 95] Until the year, 7390, the gaps are always in the set of Fibonacci numbers less than 10 and larger than 1 namely {2, 3, 5, 8}