Prime Numbers Wiki
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{{Infobox
1,000,000,007 is the largest 10-digit prime, falling short of 1,000,000,000 by just 63. The previous prime number is [[999,999,937]] and the next is [[1,000,000,009]].
 
 {{Infobox
 
 
|title = 1,000,000,007
 
|title = 1,000,000,007
 
|image = 1,000,000,007.png
 
|image = 1,000,000,007.png
 
|imagewidth = 250
 
|imagewidth = 250
 
|roman-number =
 
|roman-number =
|ordinal-number =one billion seventh
+
|ordinal-number = one billion seventh
|previous =999,999,937
+
|previous = 999,999,937
|next =1,000,000,009
+
|next = 1,000,000,009
|cardinal-number =one billion seven
+
|cardinal-number = one billion seven
 
}}1,000,000,007 is the smallest 10-digit prime, falling short of 1,000,000,000 by just 7. 1,000,000,007 has 2 factors, 1 and 1,000,000,007. It is the 50,847,535th prime number.
|Base-2 Form =
 
|Base-8 Form =
 
|Base-16 Form =|standard-form = }}
 
1,000,000,007 is the second largest 9-digit prime. 1,000,000,007 has 2 factors, 1 and 1,000,000,007. It is the 50847535th prime number.
 
 
==Proofs==
 
==Proofs==
 
*{{Divisibility number|Yes|1}}
 
*{{Divisibility number|Yes|1}}
*{{Divisibility number|No|2-1,000,000,007}}
+
*{{Divisibility number|No|2-1,000,000,006}}
 
*{{Divisibility number|Yes|{{PAGENAME}}}}
 
*{{Divisibility number|Yes|{{PAGENAME}}}}
  +
 
==Relationship with other odd numbers==
 
==Relationship with other odd numbers==
  +
===The numbers before===
  +
*The previous prime number is [[999,999,937]], 70 numbers away.
  +
*999,999,941 is the product of 113, 149, and 59,393.
  +
*999,999,943 is the product of 5,623 and 117,841.
  +
*999,999,947 is the product of 163 and 6,134,969.
  +
*999,999,949 is the product of 13, 4,091, and 53,183.
  +
*999,999,953 is the product of 29, 31, 773, and 1,439.
  +
*999,999,959 is the product of 7, 17, 43, and 195,427.
  +
*999,999,961 is the product of 3,673 and 272,257.
  +
*999,999,967 is the product of 3,257 and 307,031.
  +
*999,999,971 is the product of 193 and 5,181,347.
  +
*999,999,973 is the product of 7, 997, and 143,287.
  +
*999,999,977 is the product of 2,971 and 336,587.
  +
*999,999,979 is the product of 11 and 90,909,089.
  +
*999,999,983 is the product of 337 and 2,967,359.
  +
*999,999,989 is the product of 4,327 and 231,107.
  +
*999,999,991 is the product of 67 and 14,925,373.
  +
*999,999,997 is the product of 71, 2,251, and 6,257.
  +
*1,000,000,001 is the product of 7, 11, 13, 19, and 52,579.
  +
*1,000,000,003 is the product of 23, 307, and 141,623.
  +
  +
===The numbers after===
  +
*The next prime number is [[1,000,000,009]], 2 numbers away.
  +
**Therefore, 1,000,000,007 and 1,000,000,009 are twin primes.
 
[[Category:Prime Numbers]]
 
[[Category:Prime Numbers]]
 
[[Category:10-Digit Prime Numbers]]
 
[[Category:10-Digit Prime Numbers]]

Latest revision as of 11:43, 27 January 2018

1,000,000,007 is the smallest 10-digit prime, falling short of 1,000,000,000 by just 7. 1,000,000,007 has 2 factors, 1 and 1,000,000,007. It is the 50,847,535th prime number.

Proofs

  • Yes — 1,000,000,007 can be divided by 1
  • No — 1,000,000,007 cannot be divided by 2-1,000,000,006
  • Yes — 1,000,000,007 can be divided by 1,000,000,007


Relationship with other odd numbers

The numbers before

  • The previous prime number is 999,999,937, 70 numbers away.
  • 999,999,941 is the product of 113, 149, and 59,393.
  • 999,999,943 is the product of 5,623 and 117,841.
  • 999,999,947 is the product of 163 and 6,134,969.
  • 999,999,949 is the product of 13, 4,091, and 53,183.
  • 999,999,953 is the product of 29, 31, 773, and 1,439.
  • 999,999,959 is the product of 7, 17, 43, and 195,427.
  • 999,999,961 is the product of 3,673 and 272,257.
  • 999,999,967 is the product of 3,257 and 307,031.
  • 999,999,971 is the product of 193 and 5,181,347.
  • 999,999,973 is the product of 7, 997, and 143,287.
  • 999,999,977 is the product of 2,971 and 336,587.
  • 999,999,979 is the product of 11 and 90,909,089.
  • 999,999,983 is the product of 337 and 2,967,359.
  • 999,999,989 is the product of 4,327 and 231,107.
  • 999,999,991 is the product of 67 and 14,925,373.
  • 999,999,997 is the product of 71, 2,251, and 6,257.
  • 1,000,000,001 is the product of 7, 11, 13, 19, and 52,579.
  • 1,000,000,003 is the product of 23, 307, and 141,623.

The numbers after

  • The next prime number is 1,000,000,009, 2 numbers away.
    • Therefore, 1,000,000,007 and 1,000,000,009 are twin primes.