# How many prime numbers are there between 1 and 1000000000000?

Contents

## How many prime numbers are there between 100000000?

3. History of the Prime Number Theorem

x π(x) x/(ln x – 1)
10000 1229 1218
100000 9592 9512
1000000 78498 78030
10000000 664579 661459

## What is the millionth prime number?

Second, the millionth prime is 15,485,863, so you need to be prepared for some large data-handling. That may not work for the size of array that you will need to calculate the first million primes. In that case, you will want to implement a Segmented Sieve of Eratosthenes.

## How many prime numbers are there between 1 and 150?

List of prime numbers before 150: 2, 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.

## What is the 100000th prime?

1,299,709 is the 100,000th prime number.

## Why is 11 not a prime number?

Prime number is a positive natural number that has only two positive natural number divisors – one and the number itself. Prime numbers are subset of natural numbers. … The number 1 is not a prime number by definition – it has only one divisor.

## Why is 51 not a prime number?

Is 51 a prime number? No, 51 is NOT a prime number because it has more than two factors. 51 is a composite number and can be factored by any of the following numbers: 1, 3, 17, 51.

## Is 2 the only even prime number?

If one works from “patterns” alone, this is an easy slip to make, as 2 is the only exception, the only even prime. One proof: Because 2 is a divisor of every even number, every even number larger than 2 has at least three distinct positive divisors.

## What is the nth prime number?

The server will return the nth prime number (counting 2 as the first). Commas and scientific notation (e.g. 1.0e12) are allowed. For example, entering either 1,000,000,000,000 or 1.0e12 will tell you ‘ The 1,000,000,000,000th prime is 29,996,224,275,833.

## How many prime numbers are known?

The first 25 prime numbers (all the prime numbers less than 100) are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 (sequence A000040 in the OEIS). . Therefore, every prime number other than 2 is an odd number, and is called an odd prime.

## How do you find prime numbers from 1 to 1000?

The first few prime numbers are as follows: 2, 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, and 199, etc.

## Which is the smallest prime number?

The first 1000 prime numbers

1 17
1–20 2 59
21–40 73 157
41–60 179 269
61–80 283 389

## What are the prime numbers for 150?

So, the prime factors of 150 are written as 2 x 3 x 5 x 5 or 2 x 3 x 52, where 2, 3 and 5 are the prime numbers. It is possible to find the exact number of factors of a number 150 with the help of prime factorization. The prime factor representation of 150 is 2 x 3 x 52.

## How do you figure out if a number is prime?

To prove whether a number is a prime number, first try dividing it by 2, and see if you get a whole number. If you do, it can’t be a prime number. If you don’t get a whole number, next try dividing it by prime numbers: 3, 5, 7, 11 (9 is divisible by 3) and so on, always dividing by a prime number (see table below).

## What is the sum of prime numbers from 1 to 100?

when i run this program and enter 100 it’s showing the result is 1058 But the sum of all prime numbers upto 100 must be 1060.

## Which is the largest prime number?

Mersenne primes have a simple formula: 2n-1. In this case, “n” is equal to 82,589,933, which is itself a prime number. If you do the math, the new largest-known prime is a whopping 24,862,048 digits long.