1. Amazing Facts on Prime Numbers

2. What are Prime Numbers?
A prime number is a number which can be divided without a remainder only by itself and by 1.
For example: 17 can be only divided by 17 and 1.

3. Some Facts on Prime Numbers
The only even prime number is 2. All other even numbers can be divided by 2.
If the sum of a number’s digits is a multiple of 3, that number is divided by 3.
No prime number greater than 5 ends in 5. Any number greater than 5 that ends in 5 can be divided by 5.
Zero and 1 are not considered prime numbers.
Except for 0 and 1 a number is either a prime or a composite number.

4. Table of Prime Numbers up to 10002 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
101
103
107
109
113
127
131
137
139
149
151
157
163
167
173
179
181
191
193
197
199
211
223
227
229
233
239
241
251
257
263
269
271
277
281
283
293
307
311
313
317
331
337
347
349
353
359
367
373
379
383
389
397
401
409
419
421
431
433
439
443
449
457
461
463
467
479
487
491
499
503
509
521
523
541
547
557
563
569
571
577
587
593
599
601
607
613
617
619
631
641
643
647
653
659
661
673
677
683
691
701
709
719
727
733
739
743
751
757
761
769
773
787
797
809
811
821
823
827
829
839
853
857
859
863
877
881
883
887
907
911
919
929
937
941
947
953
967
971
977
983
991
997

5. Amazing Facts on Prime Numbers

6. Prime Spirals
In 1963, the mathematician Stanislaw Ulam noticed an odd pattern while doodling in his notebook during a presentation: When integers are written in a spiral, prime numbers always seem to fall along diagonal lines. This in itself wasn't so surprising, because all prime numbers except for the number 2 are odd, and diagonal lines in integer spirals are alternately odd and even. Much more startling was the tendency of prime numbers to lie on some diagonals more than others — and this happens regardless of whether you start with 1 in the middle, or any other number.

7. Fun Facts
Prime numbers are often used in cryptography or security for technology and the internet.
The number 1 used to be considered a prime, but it generally isn't any more.
The largest prime number known has around 13 million digits!
The Greek mathematician Euclid studied prime numbers in 300BC.
The number is a prime number. It's also Google if you type into a calculator and look at it upside down!

8. Fun Facts
Here is a interesting sequence of prime numbers in which all the digits involved have circles in them:
6089
60899
608999

9. Here are few amazing prime numbers, these prime numbers were proved by the XVIIIthcentury.31
331
3331
33331
333331
The next number is not a prime number. Whereas it is multiplied by 17 x =

10. Prime triplets
In 1988 Dubner searched for triplets in arithmetic progression with the first term equal to 3, like (3, 5, 7), (3, 7, 11), (3, 11, 19), (3, 23, 43), etc.
In particular he searched for triplets of the form (3, a + 1,  2*a –1). Here are three of his biggest triplets:
First prime
Second prime
Third prime
Digits 3
415587*10^800+1
831174*10^
806
235398*10^1000+1
470796*10^1000 – 1
1006
87114*10^1100+1
174228*10^1100 – 1
1106

11. Heinz Rectangles
A Heinz Rectangle of prime numbers is where the rows and columns are addition of primes, and the sums of the rows must be a prime number too. Each number following the previous prime must be the next prime number. The first prime on second row is the second number on the first row (or the first number on second column.)

12. Heinz rectangles A 4×5 rectangle The simplest 3x3 rectangle:
5+7+11=23
=31
=41
 A 4×5 rectangle
=53
=67
=83
=101

13. Growing primes

14. Left Truncatable Primes
is the largest right truncatable prime such that all of the substrings of the original prime are also prime numbers.
9137
137 37 7

15. Right Truncatable Primes
is a prime & the largest ever possible prime such that all of the substrings of the original prime are also prime numbers.

16. Prime Number Trick
1.Pick any prime number greater than Square it. 3. Add Divide by 12.
Without knowing which prime number you picked, I can tell you:      There will be a remainder of 3.

17. Thank you

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