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Edstrayer

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hank612

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Сľ³æ: ½ð±Ò+0.5, ¸ø¸öºì°ü£¬Ð»Ð»»ØÌû
Edstrayer: ½ð±Ò+5, very good,good luck to you! 2014-04-18 05:06:00
feixiaolin: ½ð±Ò+5, ÊýѧEPI+1, Éî¶È¡£ 2014-04-18 06:34:43
ÒýÓûØÌû:
2Â¥: Originally posted by feixiaolin at 2014-04-17 22:42:00
https://wenku.baidu.com/link?url=_hDEregBGlZZaWZF3_TRnaBgsnKcZ18BAXJVoBFYzeVno7zpM5eGLrzK4g8RChJBC7tpcHv8zvD9GC-YaBz-UXqyugRThXYY4BLBttEcJHy
½áºÏmod(11), mod(13) ?

Feixiaolin ´óÉñ¿ÉÄÜÏëµÃÌ«¸´ÔÓÁË.

ÒýÀí1.  Å¼ÍêÈ«ÊýÒ»¶¨ÊÇÐÎÈç n=2^{p-1} *(2^p-1), ÆäÖÐpÊÇËØÊý.  
(Ö¤Ã÷: Euler)

ÒýÀí2.  µ±p >= 3 ʱ,  4 Õû³ý  n.

ÒýÀí 3. µ± p ÊÇ 4k+1ÐÍÆæÊýʱ,  2^{p-1} = (15+1)^k =1 (mod 5),
2^p-1 = 2* (15+1)^k -1 = 1 (mod 5), ËùÒÔ  n=1 (mod 5)

ÒýÀí4. µ±pÊÇ4k+3ÐÍÆæÊýʱ,  2^{4 k+2} * (2^{4k+3} -1)  (mod 25)
=4*(15+1)^k *[ 8*(15+1)^k -1]  (mod 25)  (ÀûÓÃNewton¶þÏîʽչ¿ª)
=4* (15k+1) *[ 8*(15k+1)-1 ] (mod 25)
=28 (mod 25).

ÒýÀí5. ÓÉÖйúÊ£ÓඨÀí, Âú×ã n=0 (mod 4), n=1 (mod 5) µ±ÇÒ½öµ± n=16, 36, 56, 76, 96 (mod 100)
ÒÀÈ»ÓÉÖйúÊ£ÓඨÀí, Âú×ã n=0 (mod 4), n=28 (mod 25) µ±ÇÒ½öµ± n=28 (mod 100).

½áÂÛ: Èç¹û n=2^{p-1}*(2^p-1), ÆäÖÐ pÊÇ´óÓÚ1µÄÆæÊý, ÄÇô
n=28, 16, 36, 56, 76, 96 (mod 100)
We_must_know. We_will_know.
4Â¥2014-04-18 04:31:50
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
ÆÕͨ»ØÌû

feixiaolin

ÈÙÓþ°æÖ÷ (ÎÄ̳¾«Ó¢)

ÓÅÐã°æÖ÷

¡ï
Сľ³æ: ½ð±Ò+0.5, ¸ø¸öºì°ü£¬Ð»Ð»»ØÌû
2Â¥2014-04-17 22:42:00
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

Edstrayer

°æÖ÷ (ÖøÃûдÊÖ)

·½´ç¶·ÊÒСÌìµØÕýÆøÃÔÂþ´óÊÀ½ç

ÒýÓûØÌû:
2Â¥: Originally posted by feixiaolin at 2014-04-17 22:42:00
https://wenku.baidu.com/link?url=_hDEregBGlZZaWZF3_TRnaBgsnKcZ18BAXJVoBFYzeVno7zpM5eGLrzK4g8RChJBC7tpcHv8zvD9GC-YaBz-UXqyugRThXYY4BLBttEcJHy
½áºÏmod(11), mod(13) ?

ÂÛÎÄÖеķ½·¨¿ÉÒԲο¼½èÓ㬵«²»ÊǶÔÄ£11»ò13£¬¶øÊǶÔÄ£100¿¼²ìnµÄĩβÁ½Î»Êý×ֵı仯¹æÂÉ¡£
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3Â¥2014-04-18 01:01:09
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Ïà¹Ø°æ¿éÌø×ª ÎÒÒª¶©ÔÄÂ¥Ö÷ Edstrayer µÄÖ÷Ìâ¸üÐÂ
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