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-Author Unknown
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13 + (1 x 3) = 16 = 42
(1+3)2 = 1+6 +9
(3+1)2 = 9 +6+1
(7 + 13 + 19) ÷ 3 =13
16 + 9 = 25 = 52
16 x 9 = 144 = 122
The number 169 which is perfect square can be expressed as sum of two square i.e.
169 = 132 = 52 + 122
The number 169 can be expressed by number of its two block i.e. 16 and 9 which are perfect squares as follows:
169 = (16 + 9) + (16 x 9)
1/13 = 0.076923076923076923... |
i.e. the number 076923 repeating indefinitely. This number 76923 is one of the most curious numbers in mathematics.On multiplying the number 76923 by successive multiples of 13, the following beautiful pattern is obtained.
76923 | x | 13 | = | 0999999 |
76923 | x | 26 | = | 1999998 |
76923 | x | 39 | = | 2999997 |
76923 | x | 52 | = | 3999996 |
76923 | x | 65 | = | 4999995 |
76923 | x | 78 | = | 5999994 |
76923 | x | 91 | = | 6999993 |
76923 | x | 104 | = | 7999992 |
76923 | x | 117 | = | 8999991 |
76923 | x | 130 | = | 9999990 |
I published the above properties in reference [1] and [2]. Some more fascinating Prime Curios about 13 can be found at PRIME CURIOS.
Some New Fascinating Properties
Interestingly sum of digits of prime factors of 111 ( i.e. 3*37) is 13.
An atheist professor of philosophy speaks to his class on the problem science has with God, The Almighty. He asks one of his new students to stand and .....
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A tourist complimented the local fishermen on the quality of their fish and asked how long it took him to catch them. "Not very long." they answered in unison. "Why didn't you stay out longer and catch more?" The fishermen explained that their small catches were sufficient to meet their needs and those of their families. "But what do you do with the rest of your time?" "We sleep late, fish a little, play with our children, and take siestas with our wives. In the evenings, we go into the village to see our friends, have a few drinks, play the guitar, and sing a few songs. We have a full life." The tourist interrupted, "I have an MBA from Harvard and I can help you! You should start by fishing longer every day. You can then sell the extra fish you catch. With the extra revenue, you can buy a bigger boat." "And after that?" "With the extra money the larger boat will bring, you can buy a second one and a third one and so on until you have an entire fleet of trawlers. Instead of selling your fish to a middle man, you can then negotiate directly with the processing plants and maybe even open your own plant. You can then leave this little village and move to Mexico City , Los Angeles , or even New York City ! From there you can direct your huge new enterprise." "How long would that take?" "Twenty, perhaps twenty-five years." replied the tourist. "And after that?" "Afterwards? Well my friend, that's when it gets really interesting, " answered the tourist, laughing. "When your business gets really big, you can start buying and selling stocks and make millions!" "Millions? Really? And after that?" asked the fishermen. "After that you'll be able to retire, live in a tiny village near the coast, sleep late, play with your children, catch a few fish, take a siesta with your wife and spend your evenings drinking and enjoying your friends." " That's what I am doing now" Replied the fisherman And the moral of this story is: ........ Know where you're going in life.... you may already be there!! |