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from heapq import heappush, heappop
from itertools import groupby
from time import clock
from math import ceil, sqrt
from itertools import tee
 
 
def pairwise(iterable):
    "s -> (s0,s1), (s1,s2), (s2, s3), ..."
    a, b = tee(iterable)
    next(b, None)
    return zip(a, b)
 
 
def primes(n):
    "Return all primes <= n."
    sieve = list(range(1, n + 1, 2))
    sieve[0] = 2
    np = len(sieve)
    for i in range(1, (ceil(sqrt(n)) + 1) // 2):
        if sieve[i]:
            p = sieve[i]
            p2 = p * p // 2
            sieve[p2: np: p] = (0,) * len(range(p2, np, p))
    return filter(None, sieve)
 
 
def get_exp(n):
    exp = []
    for pi in prime:
        f = 0
        while n % pi == 0:
            f += 1
            n //= pi
        exp.append(f)
        if n == 1:
            break
    return exp
 
 
def get_d(n):
    d = 1
    for pi in prime:
        f = 0
        while n % pi == 0:
            f += 1
            n //= pi
        d *= (1 + f)
        if n == 1:
            break
    return d
 
 
class NodupQue(object):
    'simple priority que with no duplicates allowed'
    def __init__(self):
        self.__heap = []
        self.__items = set()
 
    def push(self, item):
        if item not in self.__items:
            self.__items.add(item)
            heappush(self.__heap, item)
 
    def pop(self):
        item = heappop(self.__heap)
        self.__items.remove(item)
        return item
 
    def __contains__(self, item): return item in self.__items__
    def __len__(self): return len(self.__heap)
    def __str__(self): return str(self.__heap)
 
 
def next_cand(n, Q):
    facs = get_exp(n) + [0]
    Q.push(n * prime[0])
    for j, (ei, ej) in enumerate(pairwise(facs), 1):
        if ei > ej:
            Q.push(n * prime[j])
 
 
def encode_hcn(nums):
    'input: prime exponents'
    out = ["(" + str(len(nums)) + ")"]
    for k, g in groupby(nums):
        nk = len(list(g))
        s = str(k) if nk == 1 else "^".join((str(k), str(nk)))
        out.append(s)
    return " ".join(out)
 
 
prime = list(primes(10000))
CO = 0.99  # gives correct results at least up to 30000
limit = 2000
# fout = open("hcn2" + str(N) + ".txt", "w")
fmt5 = "{:5d}  {:50s}"
t0 = clock()
Q = NodupQue()
Q.push(1)
maxdivs = 0
i = 0
while True:
    n = Q.pop()
    divs = get_d(n)
    if divs > maxdivs:
        i += 1
        maxdivs = divs
        ss = encode_hcn(get_exp(n))
        print(i, ss)
        # fout.write(fmt5.format(i, ss) + "\n")
        if i == limit:
            break
    if divs / maxdivs > CO:
        next_cand(n, Q)
print("elapsed: {:7.1f} secs".format(clock() - t0))
# your code goes here

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Success #stdin #stdout 0.86s 10040KB

stdin

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Standard input is empty

stdout

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1 (1) 0
2 (1) 1
3 (1) 2
4 (2) 1^2
5 (2) 2 1
6 (2) 3 1
7 (2) 2^2
8 (2) 4 1
9 (3) 2 1^2
10 (3) 3 1^2
11 (3) 2^2 1
12 (3) 4 1^2
13 (3) 3 2 1
14 (3) 4 2 1
15 (4) 3 1^3
16 (4) 2^2 1^2
17 (4) 4 1^3
18 (4) 3 2 1^2
19 (4) 4 2 1^2
20 (4) 3^2 1^2
21 (4) 5 2 1^2
22 (4) 4 3 1^2
23 (4) 6 2 1^2
24 (4) 4 2^2 1
25 (5) 3 2 1^3
26 (4) 4^2 1^2
27 (4) 5 2^2 1
28 (5) 4 2 1^3
29 (5) 3^2 1^3
30 (5) 5 2 1^3
31 (5) 4 3 1^3
32 (5) 6 2 1^3
33 (5) 4 2^2 1^2
34 (5) 5 3 1^3
35 (5) 4^2 1^3
36 (5) 5 2^2 1^2
37 (5) 6 3 1^3
38 (6) 4 2 1^4
39 (6) 3^2 1^4
40 (6) 5 2 1^4
41 (6) 4 3 1^4
42 (6) 6 2 1^4
43 (6) 4 2^2 1^3
44 (6) 5 3 1^4
45 (6) 4^2 1^4
46 (6) 5 2^2 1^3
47 (6) 6 3 1^4
48 (6) 4 3 2 1^3
49 (6) 6 2^2 1^3
50 (6) 7 3 1^4
51 (6) 5 3 2 1^3
52 (6) 4^2 2 1^3
53 (7) 4 3 1^5
54 (6) 6 3 2 1^3
55 (7) 4 2^2 1^4
56 (7) 5 3 1^5
57 (7) 4^2 1^5
58 (7) 5 2^2 1^4
59 (7) 6 3 1^5
60 (7) 4 3 2 1^4
61 (7) 6 2^2 1^4
62 (7) 7 3 1^5
63 (7) 5 3 2 1^4
64 (7) 4^2 2 1^4
65 (8) 4 3 1^6
66 (7) 6 3 2 1^4
67 (7) 5 4 2 1^4
68 (8) 5 3 1^6
69 (8) 4^2 1^6
70 (7) 6 4 2 1^4
71 (8) 5 2^2 1^5
72 (8) 6 3 1^6
73 (8) 4 3 2 1^5
74 (8) 6 2^2 1^5
75 (8) 7 3 1^6
76 (8) 5 3 2 1^5
77 (8) 4^2 2 1^5
78 (8) 6 3 2 1^5
79 (8) 5 4 2 1^5
80 (8) 7 3 2 1^5
81 (8) 6 4 2 1^5
82 (8) 5 3 2^2 1^4
83 (9) 6 3 1^7
84 (8) 4^2 2^2 1^4
85 (9) 4 3 2 1^6
86 (8) 6 3 2^2 1^4
87 (9) 7 3 1^7
88 (8) 5 4 2^2 1^4
89 (9) 5 3 2 1^6
90 (9) 4^2 2 1^6
91 (8) 6 4 2^2 1^4
92 (9) 6 3 2 1^6
93 (9) 5 4 2 1^6
94 (9) 7 3 2 1^6
95 (9) 6 4 2 1^6
96 (9) 5 3 2^2 1^5
97 (9) 6 3^2 1^6
98 (9) 4^2 2^2 1^5
99 (9) 7 4 2 1^6
100 (9) 6 3 2^2 1^5
101 (9) 7 3^2 1^6
102 (9) 5 4 2^2 1^5
103 (9) 7 3 2^2 1^5
104 (9) 6 4 2^2 1^5
105 (9) 8 3 2^2 1^5
106 (10) 6 3 2 1^7
107 (9) 7 4 2^2 1^5
108 (10) 7 3 2 1^7
109 (9) 8 4 2^2 1^5
110 (10) 6 4 2 1^7
111 (10) 5 3 2^2 1^6
112 (10) 6 3^2 1^7
113 (10) 4^2 2^2 1^6
114 (10) 7 4 2 1^7
115 (10) 6 3 2^2 1^6
116 (10) 7 3^2 1^7
117 (10) 5 4 2^2 1^6
118 (10) 7 3 2^2 1^6
119 (10) 6 4 2^2 1^6
120 (10) 8 3 2^2 1^6
121 (11) 6 3 2 1^8
122 (10) 7 4 2^2 1^6
123 (11) 7 3 2 1^8
124 (10) 8 4 2^2 1^6
125 (11) 6 4 2 1^8
126 (11) 5 3 2^2 1^7
127 (11) 6 3^2 1^8
128 (11) 4^2 2^2 1^7
129 (11) 7 4 2 1^8
130 (11) 6 3 2^2 1^7
131 (11) 7 3^2 1^8
132 (11) 5 4 2^2 1^7
133 (11) 7 3 2^2 1^7
134 (11) 6 4 2^2 1^7
135 (11) 8 3 2^2 1^7
136 (11) 6 3^2 2 1^7
137 (11) 7 4 2^2 1^7
138 (11) 6 5 2^2 1^7
139 (11) 7 3^2 2 1^7
140 (11) 8 4 2^2 1^7
141 (11) 6 4 3 2 1^7
142 (11) 7 5 2^2 1^7
143 (11) 9 4 2^2 1^7
144 (11) 7 4 3 2 1^7
145 (11) 8 5 2^2 1^7
146 (12) 6 3 2^2 1^8
147 (12) 7 3^2 1^9
148 (12) 5 4 2^2 1^8
149 (12) 7 3 2^2 1^8
150 (12) 6 4 2^2 1^8
151 (12) 8 3 2^2 1^8
152 (12) 6 3^2 2 1^8
153 (12) 7 4 2^2 1^8
154 (12) 6 5 2^2 1^8
155 (12) 7 3^2 2 1^8
156 (12) 8 4 2^2 1^8
157 (12) 6 4 3 2 1^8
158 (12) 7 5 2^2 1^8
159 (12) 9 4 2^2 1^8
160 (12) 7 4 3 2 1^8
161 (12) 8 5 2^2 1^8
162 (13) 6 3 2^2 1^9
163 (13) 7 3^2 1^10
164 (12) 8 4 3 2 1^8
165 (13) 7 3 2^2 1^9
166 (12) 9 4 3 2 1^8
167 (13) 6 4 2^2 1^9
168 (13) 8 3 2^2 1^9
169 (13) 6 3^2 2 1^9
170 (13) 7 4 2^2 1^9
171 (13) 6 5 2^2 1^9
172 (13) 7 3^2 2 1^9
173 (13) 8 4 2^2 1^9
174 (13) 6 4 3 2 1^9
175 (13) 7 5 2^2 1^9
176 (13) 9 4 2^2 1^9
177 (13) 7 4 3 2 1^9
178 (13) 8 5 2^2 1^9
179 (14) 6 3 2^2 1^10
180 (13) 8 4 3 2 1^9
181 (14) 7 3 2^2 1^10
182 (13) 9 4 3 2 1^9
183 (14) 6 4 2^2 1^10
184 (14) 8 3 2^2 1^10
185 (14) 6 3^2 2 1^10
186 (14) 7 4 2^2 1^10
187 (14) 6 5 2^2 1^10
188 (14) 7 3^2 2 1^10
189 (14) 8 4 2^2 1^10
190 (14) 6 4 3 2 1^10
191 (14) 7 5 2^2 1^10
192 (14) 9 4 2^2 1^10
193 (14) 7 4 3 2 1^10
194 (14) 8 5 2^2 1^10
195 (14) 6 5 3 2 1^10
196 (14) 8 4 3 2 1^10
197 (14) 7 5 3 2 1^10
198 (14) 9 4 3 2 1^10
199 (14) 8 4 2^3 1^9
200 (15) 6 4 2^2 1^11
201 (14) 8 5 3 2 1^10
202 (15) 6 3^2 2 1^11
203 (14) 9 4 2^3 1^9
204 (15) 7 4 2^2 1^11
205 (14) 8 5 2^3 1^9
206 (15) 6 5 2^2 1^11
207 (15) 7 3^2 2 1^11
208 (15) 8 4 2^2 1^11
209 (15) 6 4 3 2 1^11
210 (15) 7 5 2^2 1^11
211 (15) 9 4 2^2 1^11
212 (15) 7 4 3 2 1^11
213 (15) 8 5 2^2 1^11
214 (15) 6 5 3 2 1^11
215 (15) 8 4 3 2 1^11
216 (15) 7 5 3 2 1^11
217 (15) 9 4 3 2 1^11
218 (15) 8 4 2^3 1^10
219 (16) 6 4 2^2 1^12
220 (15) 8 5 3 2 1^11
221 (15) 10 4 3 2 1^11
222 (15) 9 4 2^3 1^10
223 (16) 7 4 2^2 1^12
224 (15) 8 5 2^3 1^10
225 (16) 6 5 2^2 1^12
226 (16) 7 3^2 2 1^12
227 (16) 8 4 2^2 1^12
228 (16) 6 4 3 2 1^12
229 (16) 7 5 2^2 1^12
230 (16) 9 4 2^2 1^12
231 (16) 7 4 3 2 1^12
232 (16) 8 5 2^2 1^12
233 (16) 6 5 3 2 1^12
234 (16) 8 4 3 2 1^12
235 (16) 7 5 3 2 1^12
236 (16) 9 4 3 2 1^12
237 (16) 8 4 2^3 1^11
238 (16) 6 4 3 2^2 1^11
239 (16) 8 5 3 2 1^12
240 (16) 10 4 3 2 1^12
241 (16) 9 4 2^3 1^11
242 (16) 7 4 3 2^2 1^11
243 (16) 8 5 2^3 1^11
244 (16) 6 5 3 2^2 1^11
245 (17) 7 3^2 2 1^13
246 (16) 8 4 3 2^2 1^11
247 (17) 6 4 3 2 1^13
248 (16) 7 5 3 2^2 1^11
249 (16) 9 4 3 2^2 1^11
250 (16) 8 4 2^4 1^10
251 (17) 7 4 3 2 1^13
252 (16) 8 5 3 2^2 1^11
253 (16) 10 4 3 2^2 1^11
254 (17) 6 5 3 2 1^13
255 (16) 8 4^2 2^2 1^11
256 (17) 8 4 3 2 1^13
257 (16) 8 5 2^4 1^10
258 (17) 7 5 3 2 1^13
259 (17) 9 4 3 2 1^13
260 (17) 8 4 2^3 1^12
261 (17) 6 4 3 2^2 1^12
262 (17) 8 5 3 2 1^13
263 (17) 10 4 3 2 1^13
264 (17) 9 4 2^3 1^12
265 (17) 7 4 3 2^2 1^12
266 (17) 8 5 2^3 1^12
267 (17) 6 5 3 2^2 1^12
268 (18) 7 3^2 2 1^14
269 (17) 8 4 3 2^2 1^12
270 (18) 6 4 3 2 1^14
271 (17) 7 5 3 2^2 1^12
272 (17) 9 4 3 2^2 1^12
273 (17) 8 4 2^4 1^11
274 (18) 7 4 3 2 1^14
275 (17) 8 5 3 2^2 1^12
276 (17) 10 4 3 2^2 1^12
277 (18) 6 5 3 2 1^14
278 (17) 8 4^2 2^2 1^12
279 (18) 8 4 3 2 1^14
280 (17) 8 5 2^4 1^11
281 (18) 7 5 3 2 1^14
282 (18) 9 4 3 2 1^14
283 (18) 8 4 2^3 1^13
284 (18) 6 4 3 2^2 1^13
285 (18) 8 5 3 2 1^14
286 (18) 10 4 3 2 1^14
287 (18) 9 4 2^3 1^13
288 (18) 7 4 3 2^2 1^13
289 (18) 8 5 2^3 1^13
290 (18) 6 5 3 2^2 1^13
291 (18) 7 5 3^2 1^14
292 (18) 8 4 3 2^2 1^13
293 (18) 7 5 3 2^2 1^13
294 (18) 9 4 3 2^2 1^13
295 (18) 8 4 2^4 1^12
296 (18) 8 5 3 2^2 1^13
297 (18) 10 4 3 2^2 1^13
298 (18) 7 6 3 2^2 1^13
299 (18) 8 4^2 2^2 1^13
300 (18) 9 5 3 2^2 1^13
301 (18) 8 5 2^4 1^12
302 (18) 8 6 3 2^2 1^13
303 (19) 7 5 3 2 1^15
304 (18) 10 5 3 2^2 1^13
305 (19) 9 4 3 2 1^15
306 (18) 8 4 3 2^3 1^12
307 (19) 6 4 3 2^2 1^14
308 (19) 8 5 3 2 1^15
309 (19) 10 4 3 2 1^15
310 (18) 9 4 3 2^3 1^12
311 (19) 7 4 3 2^2 1^14
312 (18) 8 5 3 2^3 1^12
313 (19) 6 5 3 2^2 1^14
314 (19) 7 5 3^2 1^15
315 (19) 8 4 3 2^2 1^14
316 (19) 7 5 3 2^2 1^14
317 (19) 9 4 3 2^2 1^14
318 (19) 8 4 2^4 1^13
319 (19) 8 5 3 2^2 1^14
320 (19) 10 4 3 2^2 1^14
321 (19) 7 6 3 2^2 1^14
322 (19) 8 4^2 2^2 1^14
323 (19) 9 5 3 2^2 1^14
324 (19) 8 5 2^4 1^13
325 (19) 8 6 3 2^2 1^14
326 (20) 7 5 3 2 1^16
327 (19) 10 5 3 2^2 1^14
328 (20) 9 4 3 2 1^16
329 (19) 8 4 3 2^3 1^13
330 (20) 6 4 3 2^2 1^15
331 (20) 8 5 3 2 1^16
332 (20) 10 4 3 2 1^16
333 (19) 9 4 3 2^3 1^13
334 (20) 7 4 3 2^2 1^15
335 (19) 8 5 3 2^3 1^13
336 (19) 10 4 3 2^3 1^13
337 (20) 6 5 3 2^2 1^15
338 (19) 8 4^2 2^3 1^13
339 (20) 7 5 3^2 1^16
340 (20) 8 4 3 2^2 1^15
341 (20) 7 5 3 2^2 1^15
342 (20) 9 4 3 2^2 1^15
343 (20) 8 4 2^4 1^14
344 (20) 8 5 3 2^2 1^15
345 (20) 10 4 3 2^2 1^15
346 (20) 7 6 3 2^2 1^15
347 (20) 8 4^2 2^2 1^15
348 (20) 9 5 3 2^2 1^15
349 (20) 8 5 2^4 1^14
350 (20) 8 6 3 2^2 1^15
351 (21) 7 5 3 2 1^17
352 (20) 10 5 3 2^2 1^15
353 (20) 8 4 3 2^3 1^14
354 (20) 9 6 3 2^2 1^15
355 (20) 7 5 3 2^3 1^14
356 (20) 9 4 3 2^3 1^14
357 (20) 10 6 3 2^2 1^15
358 (21) 7 4 3 2^2 1^16
359 (20) 8 5 3 2^3 1^14
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1811 (57) 10 7 3^2 2^5 1^48
1812 (56) 11 7 4 3 2^6 1^46
1813 (56) 10 6 4^2 2^6 1^46
1814 (57) 12 6 3^2 2^5 1^48
1815 (56) 10 7 4^2 3 2^4 1^47
1816 (56) 13 6 4 3 2^6 1^46
1817 (57) 11 6 4 3^2 2^3 1^49
1818 (57) 10 6 4 3 2^5 1^48
1819 (56) 12 7 4 3 2^6 1^46
1820 (57) 10 7 4 3^2 2^3 1^49
1821 (57) 9 7 4 3 2^5 1^48
1822 (57) 12 6 4 3^2 2^3 1^49
1823 (56) 11 8 4 3 2^6 1^46
1824 (57) 11 6 4 3 2^5 1^48
1825 (57) 11 7 4 3^2 2^3 1^49
1826 (57) 10 7 4 3 2^5 1^48
1827 (57) 12 6 4 3 2^5 1^48
1828 (57) 10 6 5 3 2^5 1^48
1829 (57) 9 6 4 3^2 2^4 1^48
1830 (57) 11 7 4 3 2^5 1^48
1831 (57) 10 6 4^2 2^5 1^48
1832 (57) 13 6 4 3 2^5 1^48
1833 (57) 10 8 4 3 2^5 1^48
1834 (57) 11 6 5 3 2^5 1^48
1835 (57) 10 6 4 3^2 2^4 1^48
1836 (57) 12 7 4 3 2^5 1^48
1837 (57) 11 6 4^2 2^5 1^48
1838 (57) 10 7 5 3 2^5 1^48
1839 (57) 9 7 4 3^2 2^4 1^48
1840 (57) 11 8 4 3 2^5 1^48
1841 (57) 12 6 5 3 2^5 1^48
1842 (57) 10 7 4^2 2^5 1^48
1843 (57) 11 6 4 3^2 2^4 1^48
1844 (57) 12 6 4^2 2^5 1^48
1845 (57) 10 6 4 3 2^6 1^47
1846 (57) 10 7 4 3^2 2^4 1^48
1847 (57) 13 6 5 3 2^5 1^48
1848 (57) 11 7 4^2 2^5 1^48
1849 (57) 12 6 4 3^2 2^4 1^48
1850 (58) 10 6 3^2 2^5 1^49
1851 (57) 11 6 4 3 2^6 1^47
1852 (57) 11 7 4 3^2 2^4 1^48
1853 (57) 10 6 4^2 3 2^4 1^48
1854 (57) 12 7 4^2 2^5 1^48
1855 (57) 10 7 4 3 2^6 1^47
1856 (58) 11 6 3^2 2^5 1^49
1857 (57) 12 6 4 3 2^6 1^47
1858 (58) 10 6 4 3^2 2^3 1^50
1859 (57) 12 7 4 3^2 2^4 1^48
1860 (58) 9 6 4 3 2^5 1^49
1861 (58) 10 7 3^2 2^5 1^49
1862 (57) 11 7 4 3 2^6 1^47
1863 (57) 10 6 4^2 2^6 1^47
1864 (58) 12 6 3^2 2^5 1^49
1865 (57) 10 7 4^2 3 2^4 1^48
1866 (57) 13 6 4 3 2^6 1^47
1867 (58) 11 6 4 3^2 2^3 1^50
1868 (58) 10 6 4 3 2^5 1^49
1869 (57) 12 7 4 3 2^6 1^47
1870 (58) 10 7 4 3^2 2^3 1^50
1871 (57) 11 6 4^2 2^6 1^47
1872 (58) 9 7 4 3 2^5 1^49
1873 (58) 12 6 4 3^2 2^3 1^50
1874 (57) 11 8 4 3 2^6 1^47
1875 (58) 11 6 4 3 2^5 1^49
1876 (58) 11 7 4 3^2 2^3 1^50
1877 (58) 10 7 4 3 2^5 1^49
1878 (58) 12 6 4 3 2^5 1^49
1879 (58) 10 6 5 3 2^5 1^49
1880 (58) 9 6 4 3^2 2^4 1^49
1881 (58) 11 7 4 3 2^5 1^49
1882 (58) 10 6 4^2 2^5 1^49
1883 (58) 13 6 4 3 2^5 1^49
1884 (58) 10 8 4 3 2^5 1^49
1885 (58) 11 6 5 3 2^5 1^49
1886 (58) 10 6 4 3^2 2^4 1^49
1887 (58) 12 7 4 3 2^5 1^49
1888 (58) 11 6 4^2 2^5 1^49
1889 (58) 10 7 5 3 2^5 1^49
1890 (58) 9 7 4 3^2 2^4 1^49
1891 (58) 11 8 4 3 2^5 1^49
1892 (58) 12 6 5 3 2^5 1^49
1893 (58) 10 7 4^2 2^5 1^49
1894 (58) 11 6 4 3^2 2^4 1^49
1895 (58) 12 6 4^2 2^5 1^49
1896 (58) 10 6 4 3 2^6 1^48
1897 (58) 10 7 4 3^2 2^4 1^49
1898 (58) 13 6 5 3 2^5 1^49
1899 (58) 11 7 4^2 2^5 1^49
1900 (58) 12 6 4 3^2 2^4 1^49
1901 (58) 10 6 5 3^2 2^4 1^49
1902 (58) 11 6 4 3 2^6 1^48
1903 (58) 11 7 4 3^2 2^4 1^49
1904 (58) 10 6 4^2 3 2^4 1^49
1905 (58) 12 7 4^2 2^5 1^49
1906 (58) 10 7 4 3 2^6 1^48
1907 (58) 11 6 5 3^2 2^4 1^49
1908 (58) 12 6 4 3 2^6 1^48
1909 (58) 12 7 4 3^2 2^4 1^49
1910 (59) 9 6 4 3 2^5 1^50
1911 (58) 10 7 5 3^2 2^4 1^49
1912 (58) 11 7 4 3 2^6 1^48
1913 (58) 10 6 4^2 2^6 1^48
1914 (58) 12 6 5 3^2 2^4 1^49
1915 (58) 10 7 4^2 3 2^4 1^49
1916 (58) 13 6 4 3 2^6 1^48
1917 (58) 10 8 4 3 2^6 1^48
1918 (58) 13 7 4 3^2 2^4 1^49
1919 (59) 10 6 4 3 2^5 1^50
1920 (58) 12 7 4 3 2^6 1^48
1921 (59) 10 7 4 3^2 2^3 1^51
1922 (58) 11 6 4^2 2^6 1^48
1923 (59) 9 7 4 3 2^5 1^50
1924 (58) 11 8 4 3 2^6 1^48
1925 (59) 11 6 4 3 2^5 1^50
1926 (59) 11 7 4 3^2 2^3 1^51
1927 (59) 10 7 4 3 2^5 1^50
1928 (59) 12 6 4 3 2^5 1^50
1929 (59) 10 6 5 3 2^5 1^50
1930 (59) 9 6 4 3^2 2^4 1^50
1931 (59) 11 7 4 3 2^5 1^50
1932 (59) 10 6 4^2 2^5 1^50
1933 (59) 13 6 4 3 2^5 1^50
1934 (59) 10 8 4 3 2^5 1^50
1935 (59) 11 6 5 3 2^5 1^50
1936 (59) 10 6 4 3^2 2^4 1^50
1937 (59) 12 7 4 3 2^5 1^50
1938 (59) 11 6 4^2 2^5 1^50
1939 (59) 10 7 5 3 2^5 1^50
1940 (59) 9 7 4 3^2 2^4 1^50
1941 (59) 11 8 4 3 2^5 1^50
1942 (59) 12 6 5 3 2^5 1^50
1943 (59) 10 7 4^2 2^5 1^50
1944 (59) 11 6 4 3^2 2^4 1^50
1945 (59) 12 6 4^2 2^5 1^50
1946 (59) 10 6 4 3 2^6 1^49
1947 (59) 10 7 4 3^2 2^4 1^50
1948 (59) 13 6 5 3 2^5 1^50
1949 (59) 11 7 4^2 2^5 1^50
1950 (59) 12 6 4 3^2 2^4 1^50
1951 (59) 10 6 5 3^2 2^4 1^50
1952 (59) 11 6 4 3 2^6 1^49
1953 (59) 11 7 4 3^2 2^4 1^50
1954 (59) 10 6 4^2 3 2^4 1^50
1955 (59) 12 7 4^2 2^5 1^50
1956 (59) 10 7 4 3 2^6 1^49
1957 (59) 11 6 5 3^2 2^4 1^50
1958 (59) 12 6 4 3 2^6 1^49
1959 (59) 12 7 4 3^2 2^4 1^50
1960 (60) 9 6 4 3 2^5 1^51
1961 (59) 10 7 5 3^2 2^4 1^50
1962 (59) 11 7 4 3 2^6 1^49
1963 (59) 10 6 4^2 2^6 1^49
1964 (59) 12 6 5 3^2 2^4 1^50
1965 (59) 10 7 4^2 3 2^4 1^50
1966 (59) 13 6 4 3 2^6 1^49
1967 (59) 10 8 4 3 2^6 1^49
1968 (59) 13 7 4 3^2 2^4 1^50
1969 (60) 10 6 4 3 2^5 1^51
1970 (59) 12 7 4 3 2^6 1^49
1971 (60) 10 7 4 3^2 2^3 1^52
1972 (59) 11 6 4^2 2^6 1^49
1973 (60) 9 7 4 3 2^5 1^51
1974 (59) 11 8 4 3 2^6 1^49
1975 (60) 11 6 4 3 2^5 1^51
1976 (60) 11 7 4 3^2 2^3 1^52
1977 (60) 10 7 4 3 2^5 1^51
1978 (60) 12 6 4 3 2^5 1^51
1979 (60) 10 6 5 3 2^5 1^51
1980 (60) 9 6 4 3^2 2^4 1^51
1981 (60) 11 7 4 3 2^5 1^51
1982 (60) 10 6 4^2 2^5 1^51
1983 (60) 13 6 4 3 2^5 1^51
1984 (60) 10 8 4 3 2^5 1^51
1985 (60) 11 6 5 3 2^5 1^51
1986 (60) 10 6 4 3^2 2^4 1^51
1987 (60) 12 7 4 3 2^5 1^51
1988 (60) 11 6 4^2 2^5 1^51
1989 (60) 10 7 5 3 2^5 1^51
1990 (60) 9 7 4 3^2 2^4 1^51
1991 (60) 11 8 4 3 2^5 1^51
1992 (60) 12 6 5 3 2^5 1^51
1993 (60) 10 7 4^2 2^5 1^51
1994 (60) 11 6 4 3^2 2^4 1^51
1995 (60) 12 6 4^2 2^5 1^51
1996 (60) 10 6 4 3 2^6 1^50
1997 (60) 10 7 4 3^2 2^4 1^51
1998 (60) 13 6 5 3 2^5 1^51
1999 (60) 11 7 4^2 2^5 1^51
2000 (60) 12 6 4 3^2 2^4 1^51
elapsed:     0.8 secs

https://ideone.com/ed3nfX

Create Highly Compsite Numbers

language:

Python 3 (python 3.9.5)

created:

visibility:

public

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