A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is called a composite number. For example, 5 is prime because 1 and 5 are its only positive integer factors, whereas 6 is composite because it has the divisors 2 and 3 in addition to 1 and 6. The fundamental theorem of arithmetic establishes the central role of primes in number theory: any integer greater than 1 can be expressed as a product of primes that is unique up to ordering. The uniqueness in this theorem requires excluding 1 as a prime because one can include arbitrarily many instances of 1 in any factorization, e.g., 3, 1 · 3, 1 · 1 · 3, etc. are all valid factorizations of 3. 

The property of being prime (or not) is called primality. A simple but slow method of verifying the primality of a given number n is known as trial division. It consists of testing whether n is a multiple of any integer between 2 and . Algorithms much more efficient than trial division have been devised to test the primality of large numbers. These include the Miller–Rabin primality test, which is fast but has a small probability of error, and the AKS primality test, which always produces the correct answer in polynomial time but is too slow to be practical. Particularly fast methods are available for numbers of special forms, such as Mersenne numbers. As of January 2016[update], the largest known prime number has 22,338,618 decimal digits. What are the answers to this following set of questions: 1. what is primality?
2. is trial division less efficient than an algorithm
3. what have the algorithms been developed for?
4. name one
5. is it known as error free?
6. name another?
7. which is faster?
8. what are non prime numbers called?
9. is 1 prime?
10. how many digits in the largest prime number?
Answer: 1. a number that con only be divided by 1 and itself
2. yes
3. test the primality of large numbers
4. Miller Rabin
5. no
6. AKS
7. Miller Rabin
8. composite numbers
9. no
10. 22,338,618

Problem: Tripoli, Libya (CNN) -- Four Italian journalists kidnapped by unknown assailants in Libya have been freed, Italy's Foreign Ministry spokesman Maurizio Massari told CNN on Thursday. 

They were "saved by two Libyans, two boys to whom we owe everything," one of the journalists said Thursday. 

"I'm alive, well and free. Until an hour ago, I thought I was dead," the reporter, Sono Domenico Quirico, said, according to his newspaper La Stampa. 

Another of the journalists, Elisabetta Rosaspina, told CNN they were kidnapped in Tripoli between Martyrs Square and Moammar Gadhafi's compound. Earlier reports said they had been abducted 80 kilometers (about 50 miles) from Tripoli. 

Claudio Monici, a correspondent for the newspaper Avvenire, said they were seized by the Libyan army and "other people with guns." 

"We understood that they were very angry. Their eyes had blood," he said, saying some of their captors said: "You are Italian. You are from NATO. You are bombing us." 

Monici saw their captors kill their Libyan driver, he said. 

"He understood that it was his last moment. We saw them kick him and kill him... When they shot at him I saw that he was praying... I saw that his lips were moving," he told Sky News. 

Massari said while it was unclear who captured the journalists, the ministry assumed it was pro-Gadhafi forces. 

All of the journalists, from prominent Italian daily newspapers, were well, Massari said Wednesday. He did not elaborate. 

Paolo Alfieri, foreign editor of the newspaper Avvenire, identified the four as Rosaspina and Giuseppe Sarcina from the newspaper Corriere della Sera, Quirico from La Stampa, and Monici from Avvenire. 
1. who was kidnapped ?
2. how many ?
3. by who ?
4. where ?
5. how many people saved them ?
6. grils ?
7. who is alive and well ?
8. what does he do ?
9. from what paper ?
10. who told CNN they were kidnapped ?
11. where wes she ?
12. how many miles from tripoli ?
13. who is a a correspondent for the newspaper Avvenire ?
14. were they seised ny isis ?
15. who seized them ?
16. and who else ?
17. who saw their captors kill their Libyan driver ?
18. what did the the ministry assumed ?
19. who is the foreign editor ?
20. who did not elaborate ?
Answer: 1. Italian journalists
2. Four
3. unknown assailants
4. Libya
5. two
6. boys
7. Sono Domenico Quirico
8. reporter
9. La Stampa
10. Elisabetta Rosaspina
11. Tripoli
12. about 50 miles
13. Claudio Monici
14. no
15. Libyan army
16. other people with guns
17. Monici
18. it was pro-Gadhafi forces
19. Paolo Alfieri
20. Massari

question: Chicago is next to a beautiful lake, Lake Michigan. In the summer Lake Michigan is warm and blue .People lie on the beaches and swim in the water. In the winter Lake Michigan is cold and gray .Snow covers the beaches, and ice covers the water. On a cold January day, a little boy and his father were playing in the snow on Chicago beach. The boy was Jimrsy Tontlewicx. He was four years old .Several Minutes went by .The father still couldn't find Jimmy. Firemen arrived .Twenty minutes later they found Jimmy and pulled him out of the water. Jimmy was not breathing, and his heart was not beating . He was dead. At the beach paramedics worked on Jimmy for an hour . He began to breathe , and his heart began to beat . The paramedics rushed Jimmy to the hospital.Doctors at the hospital put Jimmy in bed .They put him on a cold mattress because they wanted his body to warm up slowly. They gave him some medicine because they wanted him to sleep .After six weeks in the hospital he got better ,Then he went to another hospital. He stayed there for seven weeks .He began to walk ,talk ,and play again. Jimmy was in the water for more than 20 minutes . He couldn't breathe in the water . He couldn't get any oxygen .But today he is alive and healthy. How is it possible? Jimmy is alive because the water was ice cold. Usually the brain needs a lot of oxygen .But when it's very cold , the brain slows down. It does not need much oxygen .So the ice cold water saved Jimmy . Jimmy's father has another reason .He says ,"Jimmy is alive today because he is a fighter . "
1. When did the incident occur?
2. Where was it?
3. What was the body of water involved?
4. Who was involved?
5. What was the boy's name?
6. How long did he disappear for?
7. Who found him?
8. Where did they find him?
9. Did they take him to more than one hospital?
10. How long was he at the first one?
11. How long at the second one?
****
answer:
1. On a cold January day
2. on a Chicago beach.
3. Lake Michigan
4. a little boy and his father
5. Jimrsy Tontlewicx
6. Twenty minutes
7. Firemen
8. the water
9. yes
10. six weeks
11. seven weeks