Base 5 and 17 and base 2 number systems?
827759
Base 5 (Quinary) is a numeral system with five as the base. This originates from the five fingers on either hand: the most primitive numeral system.\n\nI can not find a history for Base 17\n\nBase 2: The ancient Indian mathematician Pingala presented the first known description of a binary numeral system in the 3rd century BC.\n\nTo learn more about numbering systems please follow the links to Wikipedia.com
726738
Depends what Base you are using.\n\nIn decimal it is 1234602335680234\n\nIn Hexadecimal it is 0x123463677ABD69AC\n\nI'll leave other bases as an exercise for the student...
769192
Let n_b denote "n base b"\n\nAre you converting 653_10 to another base, or converting 653_b to base 10?\n\nTo convert 653_b to base 10, you simply have to add up 6b^2+5b+3.\n\nTo convert 653_10 to another base b, you have to find the greatest power of b that goes into 653, and how many times it goes in. You write this down as the k+1 digit, where k was the power of b being raised. You then subtract how many times it goes in times b^k, and repeat. For example...\n\nCovert 653_10 to base 3.\n\nThe greatest power of 3 that goes in 653 is 3^5, which equals 243. 243 goes into 653 two times, so we subtract 2*243 from 653. 653-486=167. Our number is now of form 2 _ _ _ _ _.\n\nThe next power of 3 is 3^4, which equals 81. 81 goes into 167 two times, so we subtract 2*81 from 167. 167-162=5. Our number is now of form 2 2 _ _ _ _.\n\nThe next power of 3 is 3^3, which equals 27. 27 goes into 5 zero times, so we subtract 0*27 from 5. 5-0=5. Our number is now of form 2 2 0 _ _ _.\n\nThe next power of 3 is 3^2, which equals 9. 9 goes into 5 zero times, so we subtract 0*9 from 5. 5-0=5. Our number is now of form 2 2 0 0 _ _.\n\nThe next power of 3 is 3^1, which equals 3. 3 goes into 5 one time, so we subtract 1*3 from 5. 5-3=2. Our number is now of form 2 2 0 0 1 _.\n\nThe final power of 3 is 3^0, which equals 1. 1 goes into 2 two times, so our final number is 2 2 0 0 1 2.\n\nTo check, we simply convert 220012_3 back to base 10 using the method above.
520658
#24,#99,#16,or #20\nWho knows?
152234
1, 3, 5, 7, 11, 17....\n\n\nNumbers that can only be divided by that number or 1 with the result of a whole number.
19517
Same way the decimal system or any other base number system works.\n\nReading from right to left, you take that digit and multiply it by the base raised to the column number (with column numbers counting from 0, by 1s). Then you add the values up. \n\nexample of why 714 = 714:\nyou take the sum of:\n4 x 10 ^ 0 \n1 x 10 ^ 1\n7 x 10 ^ 2   \n\nwhich becomes\n4 x 1   = 4\n1 x 10  = 10\n7 x 100 = 700\n\n\nAdd them up and you get 714\n\nSo, 1011001 in base 2 (binary) would be the sum of:\n1 x 2 ^ 0\n0 x 2 ^ 1\n0 x 2 ^ 2\n1 x 2 ^ 3\n1 x 2 ^ 4\n0 x 2 ^ 5\n1 x 2 ^ 6\n\nwhich becomes\n1 x 1   = 1\n0 x 2   = 0\n0 x 4   = 0\n1 x 8   = 8\n1 x 16  = 16\n0 x 32  = 32\n1 x 64  = 64\n\nAdd them up, and 1011001 represents 89 in base 10.
967975
2A11\n4D13\n12G17\n48J25\n240M41
93645
d=5, g=1\n\nFirst I found all the combinations of 3 numbers (no repeats and no fours) that added to 13 (17-4) for b+c+d. Then I found all the combinations of 3 numbers (no repeats and no fours that added to 17 for g+h+i. Then I figured out which of these pairs of numbers had digits that didn't overlap, and had a pair of digits (d & g) that added to 17 minus the digits that, between them, were still missing (e & f).\n\nAnd, I'm a gal. :)
632655
Go to this site. It explains exactly where the 3 set of numbers are derived from. It is very interesting.\nhttp://www.investigateanyoneonline.com/ssn-aboutnumbers.shtml
255361
The first known use of numbers dates back to around 30000 BC when tally marks were used by stone age peoples. The earliest known example is from a cave in Southern Africa.This system had no concept of base, which limited its representation of large numbers. The first known system with a base was the Mesopotamian base 60 system (ca. 3400 BC) and the earliest known base 10 system dates to 3100 BC in Egypt.
846962
Binary is base two. The decimal system we use is base 10.\nThe earliest computers used base two because there are only two states - on or off, (1 or 0).\n\nIn our system we have 1s place, 10s place, 100s place etc.\nin base two, there is 2^0, 2^1, 2^2, 2^3  or 1's, 2's, 4's, 8's place.\n\nthe number 5 is written 1 in 1s place and 1 in 4s place\nso 5 is 101 in base 2.
872421
1. the number before 10 is 9\nmultiply by two\n9 *2 = 18\nsubtract 1\n18 - 1 = 17\n\nthen for 17\n16*2 = 32\n32 - 1 = 31\n\nthen for 31\n30 * 2 = 60\n60-1 = 58\n\nthen for 58\n58 * 2 = 116\n116-1=115\n\nthat is the first five numbers (including 10):\n10, 17, 61, 58, 116\n\n2. multiply two by three\n2 * 3 = 6\nadd one\n6 + 1 = 7\n\nthen for 7\n7*3 = 21\n21+1 = 22\n\nthen for 22\n22*3 = 66\n66+1=67\n\nthen for 67\n67*3 = 201\n201+1=202\n the first 5 numbers are 2, 7, 22, 67, 202
906203
Assuming you cannot reuse a digit unless there is more than one copy in the list...\n\nYou could do it this way...\n5 one-digit numbers: 2, 5, 6, 7, 9\n22 two-digit numbers: 22, 25, 26, 27, 29, 52, 56, 57, 59, 62, 65, 66, 67, 69, 72, 75, 76, 79, 92, 95, 96, 97\netc.\n\nBut it would take a while. The answer is: at least a few.
203784
In an odd-number base the number x is odd if Q(x) is odd, and even if Q(x) is even.\n\nIn an even base the number is odd if the last digit is odd, and even if the last digit is even.
785302
17 - 3 = 14\n19 - 5 = 14\n31 - 17 = 14\n67 - 53 = 14\n\netc...
1045723
It means a number between 5 and 200.  You might have to round to the nearest number if it doesn't take decimals.
283770
This is about Ramsy numbers , R(17,3)=3.\nThis is a famous problem, but the proff is not easy.