a、b、c是100以内的质数,满足a+b=c的质数一共有多少组? a、b、c为100以内的三个质数，满足a+b=c的质数共有几...
a\u3001b\u3001c\u662f100\u4ee5\u5185\u7684\u4e09\u4e2a\u8d28\u6570\uff0c\u6ee1\u8db3a+b=c\u7684\u8d28\u6570\u5171\u6709______\u7ec4\u8fd9\u6837\u7684\u7b97\u5f0f\u6709\uff1a
2+3=5\uff1b
2+5=7\uff1b
2+11=13\uff1b
2+17=19\uff1b
2+29=31\uff1b
2+41=43\uff1b
2+59=61\uff1b
2+71=73\uff1b
\u4e00\u5171\u67098\u7ec4\uff0e
\u6545\u7b54\u6848\u4e3a\uff1a8\uff0e
2\u662f\u6700\u5c0f\u7684\u8d28\u6570\uff0c\u4e5f\u662f\u552f\u4e00\u7684\u4e00\u4e2a\u65e2\u662f\u5076\u6570\u53c8\u662f\u8d28\u6570\u7684\u6570\uff0e\u4e5f\u5c31\u662f\u8bf4\uff0c\u9664\u4e862\u4ee5\u5916\uff0c\u8d28\u6570\u90fd\u662f\u5947\u6570\uff0c\u5c0f\u4e8e100\u7684\u8d28\u6570\u6709\u5982\u4e0b25\u4e2a\uff1a2\uff0c3\uff0c5\uff0c7\uff0c11\uff0c13\uff0c17\uff0c19\uff0c23\uff0c29\uff0c31\uff0c37\uff0c41\uff0c43\uff0c47\uff0c53\uff0c59\uff0c61\uff0c67\uff0c71\uff0c73\uff0c79\uff0c83\uff0c89\uff0c97
\u96642\u5916\uff0c\u4e24\u4e2a\u8d28\u6570\u7684\u548c\u4e00\u5b9a\u662f\u5408\u6570\uff0c\u6240\u4ee5\u5c31\u53ef\u4ee5\u770b\u5c0f\u4e8e100\u7684\u8d28\u6570\u91cc\u9762\u54ea\u4e24\u4e2a\u8d28\u6570\u76f8\u5dee2\uff0c\u6240\u4ee5\uff0c\u6ee1\u8db3a+b=c\u7684\u8d28\u6570\u5171\u6709\u4ee5\u4e0b\u7ec4\uff1a
2\uff0c3\uff0c5
2\uff0c5\uff0c7
2\uff0c11\uff0c13
2\uff0c17\uff0c19
2\uff0c29\uff0c31
2\uff0c59\uff0c61
2,71\uff0c73
\u5171\u67097\u7ec4
100以内的质数为2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
不考虑a，b的顺序的话有
2,3,5；2,5,7；2,11,13；2,17,19；2,29,31；2,41,43；2,59,61；2,71,73共8组
2+3=5，
2+5=7，
2+11=13，
2+17=19，
2+29=31，
2+41=43，
2+59=61，
2+71=73，
不考虑ab的先后顺序，一共,8组。
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