Made changes to ch04.asciidoc

ch04.asciidoc

@@ -861,11 +861,11 @@ Vanity addresses are valid bitcoin addresses that contain human-readable message
 
 Once a vanity address matching the desired pattern is found, the private key from which it was derived can be used by the owner to spend bitcoins in exactly the same way as any other address. Vanity addresses are no less or more secure than any other address. They depend on the same Elliptic Curve Cryptography (ECC) and Secure Hash Algorithm (SHA) as any other address. You can no easier find the private key of an address starting with a vanity pattern than you can any other address.
 
-In Chapter 1, we introduced Eugenia, a children's charity director operating in the Philippines. Let's say that Eugenia is organizing a bitcoin fundraising drive and wants to use a vanity bitcoin address to publicize the fundraising. Eugenia will create a vanity address that starts with "1Kids", to promote the children's charity fundraiser. Let's see how this vanity address will be created and what it means for the security of Eugenia's charity. 
+In Chapter 1, we introduced Eugenia, a children's charity director operating in the Philippines. Let's say that Eugenia is organizing a bitcoin fundraising drive and wants to use a vanity bitcoin address to publicize the fundraising. Eugenia will create a vanity address that starts with "1Kids" to promote the children's charity fundraiser. Let's see how this vanity address will be created and what it means for the security of Eugenia's charity. 
 
-===== Generating Vanity Addresses
+===== Generating vanity addresses
 
-It's important to realize that a bitcoin address is simply a number represented by symbols in the Base-58 alphabet. The search for a pattern like "1Kids" can be seen as searching for an address in the range from "1Kids11111111111111111111111111111" to "1Kidszzzzzzzzzzzzzzzzzzzzzzzzzzzzz". There are approximately 58^29^ (approximately 1.4 * 10^51^) addresses in that range, all starting with "1Kids". 
+It's important to realize that a bitcoin address is simply a number represented by symbols in the Base58 alphabet. The search for a pattern like "1Kids" can be seen as searching for an address in the range from "1Kids11111111111111111111111111111" to "1Kidszzzzzzzzzzzzzzzzzzzzzzzzzzzzz". There are approximately 58^29^ (approximately 1.4 * 10^51^) addresses in that range, all starting with "1Kids". Table 4-11 shows the range of addresses that have the prefix 1Kids.
 
 .The range of vanity addresses starting with "1Kids"
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@@ -873,20 +873,20 @@ It's important to realize that a bitcoin address is simply a number represented
 | To | 1Kidszzzzzzzzzzzzzzzzzzzzzzzzzzzzz
 |=======
 
-Let's look at the pattern "1Kids" as a number and see how frequently we might find this pattern in a bitcoin address. An average desktop computer PC, without any specialized hardware, can search approximately 100,000 keys per second.
+Let's look at the pattern "1Kids" as a number and see how frequently we might find this pattern in a bitcoin address (see Table 4-12). An average desktop computer PC, without any specialized hardware, can search approximately 100,000 keys per second.
 
 .The frequency of a vanity pattern (1KidsCharity) and average time-to-find on a desktop PC
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-| Length | Pattern | Frequency | Average Search Time
+| Length | Pattern | Frequency | Average search time
 | 1 | 1K | 1 in 58 keys | < 1 milliseconds
 | 2 | 1Ki| 1 in 3,364 | 50 milliseconds 
 | 3 | 1Kid | 1 in 195,000 | < 2 seconds
 | 4 | 1Kids | 1 in 11 million | 1 minute
 | 5 | 1KidsC | 1 in 656 million | 1 hour
 | 6 | 1KidsCh | 1 in 38 billion | 2 days
-| 7 | 1KidsCha | 1 in 2.2 trillion | 3-4 months
+| 7 | 1KidsCha | 1 in 2.2 trillion | 3–4 months
-| 8 | 1KidsChar | 1 in 128 trillion | 13-18 years
+| 8 | 1KidsChar | 1 in 128 trillion | 13–18 years
 | 9 | 1KidsChari | 1 in 7 quadrillion | 800 years
 | 10 | 1KidsCharit | 1 in 400 quadrillion | 46,000 years
 | 11 | 1KidsCharity | 1 in 23 quintillion | 2.5 million years