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A miscellany of blogs, reviews and quotations, mostly about faith and numbers, plus pensions, genealogy, books and music.

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Category: 153

Luke 1:53

10 Oct 201811 Oct 2018 by Ian Naismith, posted in 153, Faith

It's Mary's song - the Magnificat.  She's recently been told by the angel that she's going to conceive  through the Holy Spirit and become mother to the Son of God.  She dashes off to tell the good news to her older relative Elizabeth, herself pregnant through a work of God, and the baby leaps in … Continue reading Luke 1:53

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1 Corinthians 15:3

10 Oct 201815 Oct 2018 by Ian Naismith, posted in 153, Faith

It's perhaps the most concise summary of the Gospel in the whole Bible - just five words in English (six in Greek): "Christ died for our sins". In this is summarised all Christian faith.  My sins separated me from God, and there was nothing I could do by myself to be restored to Him and … Continue reading 1 Corinthians 15:3

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153 fish

10 Oct 201811 Oct 2018 by Ian Naismith, posted in 153, Faith

It's one of the great human interest stories of the Gospels - you'll find it in John 21.  Jesus has been raised from the dead, but is no longer always physically with the disciples.  Peter appears to get a bit fed up and decides to go fishing, taking half a dozen other disciples with him.  … Continue reading 153 fish

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153 as a number between squares

11 Sep 201812 Sep 2018 by Ian Naismith, posted in 153, Numbers

153 can be expressed as a2 + b2 and as (a+1)2 - (b+1)2.  In other words, 122 + 32 = 153 = 132 - 42. This feature applies for every natural number b, with a equal to  b2+b.  So if b=4, this means a = 16 + 4 = 20.  This gives 416 = 400 … Continue reading 153 as a number between squares

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153 as the sum of factorials

11 Sep 201812 Sep 2018 by Ian Naismith, posted in 153, Numbers

The factorial of a number n (normally represented as n!) is found by multiplying together all the natural numbers up to n.  So, for example, 4! = 1 x 2 x 3 x 4 = 24. 153 is the sum of the first five factorials: 1 + 2 + 6 + 24 + 120 = … Continue reading 153 as the sum of factorials

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153 as a combination of squares

10 Sep 201812 Sep 2018 by Ian Naismith, posted in 153, Numbers

Take three square numbers and add them together.  What numbers can you get?  Potentially any whole number except one in the form 8n+7, 4 x (8m+7) 16 x (8l+7), 64 x (8k+7) etc.  and many numbers can be formed by several different combinations. 153 is the first number that can be formed by combinations of … Continue reading 153 as a combination of squares

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Why onefivethree?

27 Aug 201810 Oct 2018 by Ian Naismith, posted in 153

You may be wondering why I’ve called my site OneFiveThree.  The reason is the two areas I expect to feature most often – Christian faith and numbers.  OneFiveThree says a lot about them. Numbers 153 is a particularly interesting number.  Here are a few of its features. 153 is a narcissistic number – you get … Continue reading Why onefivethree?

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153 – a triangular number

26 Aug 201810 Oct 2018 by Ian Naismith, posted in 153, Numbers

A triangular number is one that can be represented by dots arranged in a triangle, where each row has one fewer dots than the one below it.  The layout can be as a right-angled triangle, or as an equilateral one as illustrated on the left. Mathematically, the nth  triangular number is the total of the … Continue reading 153 – a triangular number

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153 – A narcissistic number

25 Aug 201810 Oct 2018 by Ian Naismith, posted in 153, Numbers

153 is a narcissistic number because 13 +53 +33 = 1 + 125 + 27 = 153. In general, a narcissistic number with k digits is one where the sum of raising each if its digits to the power k gives you the original number.  So, for example, 84 + 24 + 04 + 84 … Continue reading 153 – A narcissistic number

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